Mathematics

Grade10

Easy

Question

Find the product. $left parenthesis 2 a plus 3 b right parenthesis squared$

$4 a^{2} + 9 b^{2}$
$4 a^{2} + 12 a b + 9 b^{2}$
$4 a^{2} - 12 a b + 9 b^{2}$
$4 a^{2} + 12 a b - 9 b^{2}$

The correct answer is: $4 a squared plus 12 a b plus 9 b squared$

Using the pattern $left parenthesis a plus b right parenthesis squared equals a squared plus 2 a b plus b squared comma$
$left parenthesis 2 a plus 3 b right parenthesis squared equals 4 a squared plus 2 asterisk times 2 a asterisk times 3 b plus 9 b squared equals 4 a squared plus 12 a b plus 9 b squared$

Find the product. $left parenthesis 4 k squared plus 2 right parenthesis squared$

MathematicsGrade10

Grade10

Mathematics

Find the sum.
$– 7 left parenthesis straight g squared right parenthesis straight h plus 9 left parenthesis straight g squared right parenthesis straight h$

MathematicsGrade10

Grade10

Mathematics

Name the polynomial by degree and number of terms.
$negative straight p to the power of 6 minus 9 straight p to the power of 5 plus 3 straight p to the power of 4 – 8 straight p cubed plus 7 straight p$

MathematicsGrade10

Grade10

Mathematics

A cube has square sides with area $straight x squared plus 24 straight x plus 144$ . What expression represents the surface area of the cube?

MathematicsGrade10

Grade10

Mathematics

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures televisions can be modeled by the polynomial $3 straight x squared plus 180 straight x$ . The cost, in dollars, of producing the televisions can be modeled by $3 straight x squared minus 160 straight x plus 300$ . The variable x is the number of televisions sold. If 150 televisions are sold, what is the profit?

MathematicsGrade10

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Using the pattern

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Find the product. $left parenthesis 2 a plus 3 b right parenthesis squared$

The correct answer is: $4 a squared plus 12 a b plus 9 b squared$

Find the product. $left parenthesis 4 k squared plus 2 right parenthesis squared$

Find the product. $left parenthesis 4 k squared plus 2 right parenthesis squared$

Use the square of a binomial to find the product. $72 squared$

Use the square of a binomial to find the product. $72 squared$

Use the square of a binomial to find the product. $56 squared$

Use the square of a binomial to find the product. $56 squared$

Find the product. $left parenthesis 3 x plus 2 right parenthesis squared$

Find the product. $left parenthesis 3 x plus 2 right parenthesis squared$

Find the product. $left parenthesis x minus 4 right parenthesis squared$

Find the product. $left parenthesis x minus 4 right parenthesis squared$

Find the sum.
$– 7 left parenthesis straight g squared right parenthesis straight h plus 9 left parenthesis straight g squared right parenthesis straight h$

Find the sum.
$– 7 left parenthesis straight g squared right parenthesis straight h plus 9 left parenthesis straight g squared right parenthesis straight h$

Name the polynomial by degree and number of terms.
$negative straight p to the power of 6 minus 9 straight p to the power of 5 plus 3 straight p to the power of 4 – 8 straight p cubed plus 7 straight p$

Name the polynomial by degree and number of terms.
$negative straight p to the power of 6 minus 9 straight p to the power of 5 plus 3 straight p to the power of 4 – 8 straight p cubed plus 7 straight p$

A cube has square sides with area $straight x squared plus 24 straight x plus 144$ . What expression represents the surface area of the cube?

A cube has square sides with area $straight x squared plus 24 straight x plus 144$ . What expression represents the surface area of the cube?