Q5 of 90 Page 33

Factorize :

Using Identity:

(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx


x2 + 2y2 + 8z2 + 2√ 2xy – 8yz – 4√ 2xz = (– x)2 + (– √ 2y)2 + (2√ 2z)2 + 2(– x)(– √ 2y) + 2(– √ 2 y(2√ 2 z) + 2(2√ 2z)(– x)


= (– x – √ 2y + 2√ 2z)2


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Expanding the following using suitable identities.

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