1.

Select a suitable identity and find the following products(i) (3k + 4l)(3k + 4l)(ii) (ax2 + by2)(ax2 + by2)

Answer»

i) (3k + 4l) (3k 4l) = (3k + 4l)2 is in the form of (a + b)2.

= (3k)2 + 2 × 3k × 4l+ (4l)2 [ (a+ b)2 = a2 + 2ab + b2

= 3k × 3k + 24kl + 4l × 4l

= 9k2 + 24kl + 16l2

ii) (ax2 + by2) (ax2 + by2) = (ax2 + by2)2 is in the form of (a + b)2.

= (ax2)2 + 2 × ax2 × by2 + (by2)2   [ ∵ (a + b)2 = a2 + 2ab + b2 ]

= ax2 × ax2 + 2abx2y2 + by2 × by2

= a2x4 + 2ab x2y2 + b2y4


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