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NCERT Solutions Class 8 Mathematics Solutions for Exercise 14.2 in Chapter 14 - Factorisation
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Q2) Factorise.
(i) 4p^2-9q^2
(ii) 63a^2-112b^2
(iii) 49x^2-36
(iv) 16x^5-144x^3
(v) \left(l+m\right)^2-\left(l-m\right)^2
(vi) 9x^2y^2-16
(vii)
Solution 2:
(i) \left(2p\right)^2-\left(3q\right)^2
\left(2p+3q\right)\left(2p-3q\right)
(ii) 7\left(9a^2-16b^2\right)
7\left[\left(3a\right)^2-\left(4b\right)^2\right]
7\left[\left(3a+4b\right)\left(3a-4b\right)\right]
(iii) \left(7x\right)^2-6^2
\left(7x-6\right)\left(7x+6\right)
(iv) x^3\left(16x^2-144\right)
x^3\left[\left(4x\right)^2-\left(12\right)^2\right]
x^3\left[\left(4x-12\right)\left(4x+12\right)\right]
(v) \left(l^2+m^2+2lm\right)-\left(l^2+m^2-2lm\right)
l^2+m^2+2lm-l^2-m^2+2lm
=4lm
(vi) \left(3xy\right)^2-4^2
(3xy+4) (3xy-4)
(vii) \left(x-y\right)^2-z^2
\left(x-y+z\right)\left(x-y-z\right)
(viii) 25a^{2\ }-\left[\left(2b\right)^2\ -\ 2\times2b\times7c\ +\ \left(7c\right)^2\right]
\left(5a\right)^2-\left[\left(2b-7c\right)^2\right]
\left(5a\right)^2\ -\left(2b-7c\right)^2
(5a+2b-7c) (5a-2b+7c)
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