Factorise by grouping method :
ab(x2 + 1) + x(a2 + b2).
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Given,
ab(x2 + 1) + x(a2 + b2)
= abx2 + ab + xa2 + xb2
= abx2 + xa2 + xb2 + ab
= ax(bx + a) + b(bx + a)
= (ax + b)(bx + a).
Hence, ab(x2 + 1) + x(a2 + b2) = (ax + b)(bx + a).
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16(a + b)2 - 4a - 4b
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(ax + by)2 + (bx - ay)2
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