Question 88 (ix)

Factorise the following expression.

$63 p^{2} q^{2} r^{2} s - 9 p q^{2} r^{2} s^{2} + 15 p^{2} q r^{2} s^{2} - 60 p^{2} q^{2} r s^{2}$

Open in App

Solution

We have, $63 p^{2} q^{2} r^{2} s - 9 p q^{2} r^{2} s^{2} + 15 p^{2} q r^{2} s^{2} - 60 p^{2} q^{2} r s^{2}$
$= 3 \times 21 p^{2} q^{2} r^{2} s - 3 \times 3 p q^{2} r^{2} s^{2} + 3 \times 5 p^{2} q r^{2} s^{2} - 3 \times 20 p^{2} q^{2} r s^{2}$
$= 3 p q r s (21 p q r - 3 q r s + 5 p r s - 20 p q s)$

Suggest Corrections

Similar questions

Factorise the following expression.

$63 p^{2} q^{2} r^{2} s - 9 p q^{2} r^{2} s^{2} + 15 p^{2} q r^{2} s^{2} - 60 p^{2} q^{2} r s^{2}$

l^{2} m^{2} n - l m^{2} n^{2} - l^{2} m n^{2}

a^{2} - 2 a b + b^{2} = (a - b)^{2}

4 y^{2} - 12 y + 9

Question 92 (ix)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$\frac{2 p^{2}}{25} - 32 q^{2}$

x^{2} - 17 x + 60

Join BYJU'S Learning Program

Explore more

Join BYJU'S Learning Program