factorise using identities (3x + 4y)^2 + 2(3x + 4y) (3x - 4y) + (3x - 4y)
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Given (3x + 4y)2 + 2(3x + 4y)(3x – 4y) + (3x – 4y)2 Put (3x + 4y) = a and (3x – 4y) = b ⇒ (3x + 4y)2 + 2(3x + 4y)(3x – 4y) + (3x – 4y)2 = a2 + 2ab + b2 = (a+ b)2 = [(3x + 4y)+(3x – 4y)]2 = (6x)2 = 36x2
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