Question

Factorise:
כ
(i) 4x² +9y2 + 1672 + 12xy – 24yz – 16xz​

Answer 1

$\LARGE{\underline{\underline{\sf{Answer:- }}}}$

[2x + 3y - 42 ]²

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$\LARGE{\underline{\underline{\sf{Solution:-}}}}$

(i) 4x² + 9y² + 16z² + 12xy - 24yz - 16xz

Identity used :-

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

4x² + 9y² + 16z² + 12xy [ -24yz ] + [-16xz]

(2x)² + (3y )² + [-4z]² + 2 × 2x × 3y + 2 × 3y × -42 + 2x -4z × 2x

[2x + 3y - 42 ]²

So , the final answer is =

[2x + 3y - 42 ]²