Mathematics

Grade10

Easy

Question

Simplify the expression.
$left parenthesis 14 straight p to the power of 4 plus 11 straight p squared minus 9 straight p to the power of 5 right parenthesis minus left parenthesis negative 14 plus 5 straight p to the power of 5 minus 11 straight p squared right parenthesis$

$- 10 p^{5} + 10 p^{4} + 11 p^{2} + 8$
$12 p^{5} + 10 p^{4} + 8 p^{2} + 14$
$- 14 p^{5} + 14 p^{4} + 22 p^{2} + 14$
$13 p^{5} + 12 p^{4} + 24 p^{2} + 14$

hint Hint:

Combine like terms

The correct answer is: $negative 14 straight p to the power of 5 plus 14 straight p to the power of 4 plus 22 straight p squared plus 14$

. $left parenthesis 14 straight p to the power of 4 plus 11 straight p squared minus 9 straight p to the power of 5 right parenthesis minus left parenthesis negative 14 plus 5 straight p to the power of 5 minus 11 straight p squared right parenthesis$

$equals space 14 p to the power of 4 plus 11 p squared minus 9 p to the power of 5 plus 14 minus 5 p to the power of 5 plus 11 p squared equals space minus 9 p to the power of 5 minus 5 p to the power of 5 plus 14 p to the power of 4 plus 11 p squared plus 11 p squared plus 14 equals space minus 14 straight p to the power of 5 plus 14 straight p to the power of 4 plus 22 straight p squared plus 14$

Find the perimeter of the rectangle.

MathematicsGrade10

Grade10

Mathematics

What is the sum of $negative 2 straight x squared plus 3 straight x – 4$ and $3 straight x squared – 4 straight x plus 6$ ?

MathematicsGrade10

Grade10

Mathematics

Which expression is equivalent to $left parenthesis straight x squared plus 3 straight x – 5 right parenthesis – left parenthesis 4 straight x squared plus 3 straight x – 6 right parenthesis ?$

MathematicsGrade10

Grade10

Mathematics

Simplify the expression.
$left parenthesis 4 straight a cubed minus 8 straight a minus 4 straight a squared right parenthesis plus left parenthesis 7 straight a cubed minus 7 minus 6 straight a right parenthesis$

MathematicsGrade10

Grade10

Mathematics

Find the sum.
$left parenthesis 3 straight y squared plus straight y cubed minus 5 right parenthesis plus left parenthesis 4 straight y squared minus 4 straight y plus 2 straight y cubed plus 8 right parenthesis$

MathematicsGrade10

Grade10

Mathematics

What is the degree of this term?
$negative 7 xyz squared$

MathematicsGrade10

Grade10

Mathematics

What is the standard form of the polynomial?
$7 straight x minus 125 minus 6 straight x to the power of 4 plus 14 straight x squared$

MathematicsGrade10

Grade10

Mathematics

When adding or subtracting polynomials, we add / subtract the _______________.

MathematicsGrade10

Grade10

Mathematics

A square prism has square sides with area $straight x squared plus 8 straight x plus 16$ and rectangular sides with area $2 straight x squared plus 15 straight x plus 28$ . What expression represents the surface area of the square prism?

Are of square = $left parenthesis s i d e right parenthesis squared$
Area of rectangle = $l e n g t h cross times b r e a d t h$

A square prism has square sides with area $straight x squared plus 8 straight x plus 16$ and rectangular sides with area $2 straight x squared plus 15 straight x plus 28$ . What expression represents the surface area of the square prism?

MathematicsGrade10

Are of square = $left parenthesis s i d e right parenthesis squared$
Area of rectangle = $l e n g t h cross times b r e a d t h$

Grade10

Mathematics

A rectangle has a length of 5x + 2 in. and a width of 4x + 6 in. What is the perimeter of the rectangle?

MathematicsGrade10

Grade10

Mathematics

Simplify the expression.
$left parenthesis 4 straight n to the power of 4 minus 8 straight n plus 4 right parenthesis minus left parenthesis 8 straight n squared plus 4 straight n to the power of 4 plus 1 right parenthesis$

MathematicsGrade10

Grade10

Mathematics

Find the difference.
$left parenthesis 3 minus 2 straight x plus 2 straight x squared right parenthesis minus left parenthesis 4 straight x minus 5 plus 3 straight x squared right parenthesis$

MathematicsGrade10

Grade10

Mathematics

Find the sum.
$left parenthesis 2 straight x squared plus 5 straight x minus 7 right parenthesis plus left parenthesis 3 minus 4 straight x squared plus 6 straight x right parenthesis$

MathematicsGrade10

Grade10

Mathematics

Simplify the expression.
6m + 3z + 4m + 2w - 5z

MathematicsGrade10

Grade10

Mathematics

What is the constant in the polynomial?
$negative 2 xyz plus 3 straight x squared minus 2 straight y squared minus 6 straight z squared plus 32$

MathematicsGrade10

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Combine like terms

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Simplify the expression.
$left parenthesis 14 straight p to the power of 4 plus 11 straight p squared minus 9 straight p to the power of 5 right parenthesis minus left parenthesis negative 14 plus 5 straight p to the power of 5 minus 11 straight p squared right parenthesis$

The correct answer is: $negative 14 straight p to the power of 5 plus 14 straight p to the power of 4 plus 22 straight p squared plus 14$

What is the sum of $negative 2 straight x squared plus 3 straight x – 4$ and $3 straight x squared – 4 straight x plus 6$ ?

What is the sum of $negative 2 straight x squared plus 3 straight x – 4$ and $3 straight x squared – 4 straight x plus 6$ ?

Which expression is equivalent to $left parenthesis straight x squared plus 3 straight x – 5 right parenthesis – left parenthesis 4 straight x squared plus 3 straight x – 6 right parenthesis ?$

Which expression is equivalent to $left parenthesis straight x squared plus 3 straight x – 5 right parenthesis – left parenthesis 4 straight x squared plus 3 straight x – 6 right parenthesis ?$

Simplify the expression.
$left parenthesis 4 straight a cubed minus 8 straight a minus 4 straight a squared right parenthesis plus left parenthesis 7 straight a cubed minus 7 minus 6 straight a right parenthesis$

Simplify the expression.
$left parenthesis 4 straight a cubed minus 8 straight a minus 4 straight a squared right parenthesis plus left parenthesis 7 straight a cubed minus 7 minus 6 straight a right parenthesis$

Find the sum.
$left parenthesis 3 straight y squared plus straight y cubed minus 5 right parenthesis plus left parenthesis 4 straight y squared minus 4 straight y plus 2 straight y cubed plus 8 right parenthesis$

Find the sum.
$left parenthesis 3 straight y squared plus straight y cubed minus 5 right parenthesis plus left parenthesis 4 straight y squared minus 4 straight y plus 2 straight y cubed plus 8 right parenthesis$

What is the degree of this term?
$negative 7 xyz squared$

What is the degree of this term?
$negative 7 xyz squared$

What is the standard form of the polynomial?
$7 straight x minus 125 minus 6 straight x to the power of 4 plus 14 straight x squared$

What is the standard form of the polynomial?
$7 straight x minus 125 minus 6 straight x to the power of 4 plus 14 straight x squared$

A square prism has square sides with area $straight x squared plus 8 straight x plus 16$ and rectangular sides with area $2 straight x squared plus 15 straight x plus 28$ . What expression represents the surface area of the square prism?

A square prism has square sides with area $straight x squared plus 8 straight x plus 16$ and rectangular sides with area $2 straight x squared plus 15 straight x plus 28$ . What expression represents the surface area of the square prism?

Simplify the expression.
$left parenthesis 4 straight n to the power of 4 minus 8 straight n plus 4 right parenthesis minus left parenthesis 8 straight n squared plus 4 straight n to the power of 4 plus 1 right parenthesis$

Simplify the expression.
$left parenthesis 4 straight n to the power of 4 minus 8 straight n plus 4 right parenthesis minus left parenthesis 8 straight n squared plus 4 straight n to the power of 4 plus 1 right parenthesis$

Find the difference.
$left parenthesis 3 minus 2 straight x plus 2 straight x squared right parenthesis minus left parenthesis 4 straight x minus 5 plus 3 straight x squared right parenthesis$

Find the difference.
$left parenthesis 3 minus 2 straight x plus 2 straight x squared right parenthesis minus left parenthesis 4 straight x minus 5 plus 3 straight x squared right parenthesis$

Find the sum.
$left parenthesis 2 straight x squared plus 5 straight x minus 7 right parenthesis plus left parenthesis 3 minus 4 straight x squared plus 6 straight x right parenthesis$

Find the sum.
$left parenthesis 2 straight x squared plus 5 straight x minus 7 right parenthesis plus left parenthesis 3 minus 4 straight x squared plus 6 straight x right parenthesis$

Simplify the expression.
6m + 3z + 4m + 2w - 5z

Simplify the expression.
6m + 3z + 4m + 2w - 5z

What is the constant in the polynomial?
$negative 2 xyz plus 3 straight x squared minus 2 straight y squared minus 6 straight z squared plus 32$

What is the constant in the polynomial?
$negative 2 xyz plus 3 straight x squared minus 2 straight y squared minus 6 straight z squared plus 32$