Topics
Factorisation
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India
Class VIII

Factorise further algebraic expressions

Lesson
Practice

Interactive practice questions

Use the image below to answer the following questions:

a

Write an expression in expanded form for the area of the shaded region.

b

Write the expression for the area as a factorised polynomial.

Easy
2min

Factorise the following expression by taking out the common factor:

$8x\left(10y-z+w\right)-9u\left(10y-z+w\right)$8x(10y−z+w)−9u(10y−z+w)

Easy
< 1min

Fully factorise $4b\left(4y+5x\right)+c\left(4y+5x\right)+3a\left(4y+5x\right)$4b(4y+5x)+c(4y+5x)+3a(4y+5x).

Easy
< 1min

Factorise the following expression:

$4p^2q^2-81c^2d^2$4p2q2−81c2d2

Easy
1min
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Outcomes

8.A.AE.1

Multiplication and division of algebraic exp.(Coefficient should be integers)

8.A.AE.2

Some common errors (e.g. 2 + x ≠ 2x, 7x + y ≠ 7xy )

8.A.AE.3

Identities (a ± b)^2 = a^2 ± 2ab + b^2, a^2 – b^2 = (a – b) (a + b) Factorisation (simple cases only) as examples the following types a(x + y), (x ± y)^2, a^2 – b^2, (x + a).(x + b)

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