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India
Class VIII

Factorising algebraic fractions (mult/div)

Interactive practice questions

Simplify the expression:

$\frac{x^2}{5}\times\frac{15}{x}$x25×15x

Easy
< 1min

Simplify the following:

$\frac{45x^2yz}{10}\div\frac{9y^2}{5x}$45x2yz10÷​9y25x

Easy
2min

Simplify $\frac{4m\left(4m+3\right)}{\left(4m+3\right)^2}\times\frac{\left(4m+3\right)\left(m-3\right)}{6m}$4m(4m+3)(4m+3)2×(4m+3)(m3)6m.

Easy
2min

Simplify $\frac{\left(m+9\right)\left(m+5\right)}{20\left(m+8\right)}\div\frac{\left(m+5\right)\left(m+7\right)}{15\left(m+7\right)}$(m+9)(m+5)20(m+8)÷​(m+5)(m+7)15(m+7).

Easy
2min
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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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