Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Mathematics

Grade10

Easy

Question

Factorise x² + 15xy + 54y².

(x + 9y) (x + 6y)
(x + 27y) (x + 2y)
(x – 9y) (x – 6y)
(x – 2y) (x – 27y)

The correct answer is: (x + 9y) (x + 6y)

Factors of 54 are 9 and 6.
And, 9 + 6 = 15
So the factors of the given equation are: (x + 9y) (x + 6y)
= x² + 6xy + 9xy + 54y² = x² + 15xy + 54y²

Related Questions to study

Factorise x² – 10xy – 11y².

Factorise x² – 10xy – 11y².

MathematicsGrade10

Factorise x² – 16xy + 28y².

Factorise x² – 16xy + 28y².

MathematicsGrade10

What is the factored form of 4x³ – 24x² – 28x?

What is the factored form of 4x³ – 24x² – 28x?

MathematicsGrade10

parallel

Factorise x²– 13x + 12.

Factorise x²– 13x + 12.

MathematicsGrade10

Factorise x² – 2x – 8.

Factorise x² – 2x – 8.

MathematicsGrade10

Factorise x² + 3x - 10.

Factorise x² + 3x - 10.

MathematicsGrade10

parallel

Factorise x²– 11x + 24.

Factorise x²– 11x + 24.

MathematicsGrade10

In the previous question, if the length of each side of the shaded square is 12 cm, what is the total area of the four white triangles?

In the previous question, if the length of each side of the shaded square is 12 cm, what is the total area of the four white triangles?

MathematicsGrade10

Consider the figure shown below. What expression represents the total area of the four white triangles?

Consider the figure shown below. What expression represents the total area of the four white triangles?

MathematicsGrade10

parallel

Find the product. $91 squared$

Find the product. $91 squared$

MathematicsGrade10

Find the product. 34*46

Find the product. 34*46

MathematicsGrade10

Find a value for m to make a true statement.
$m x squared – 36 equals left parenthesis 3 x plus 6 right parenthesis left parenthesis 3 x – 6 right parenthesis$

Find a value for m to make a true statement.
$m x squared – 36 equals left parenthesis 3 x plus 6 right parenthesis left parenthesis 3 x – 6 right parenthesis$

MathematicsGrade10

parallel

What is the product of $left parenthesis 3 x squared – 4 y right parenthesis left parenthesis 3 x squared plus 4 y right parenthesis$ ?

What is the product of $left parenthesis 3 x squared – 4 y right parenthesis left parenthesis 3 x squared plus 4 y right parenthesis$ ?

MathematicsGrade10

Consider each expression. Select the expressions you can use to find the product $53 squared$ ?

Consider each expression. Select the expressions you can use to find the product $53 squared$ ?

MathematicsGrade10

Find the product. (x – 12)(x + 12)

Find the product. (x – 12)(x + 12)

MathematicsGrade10

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.