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Question

solve: ab(x2+1)+x(a2+b2)

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Solution

ab(x2+1)+x(a2+b2)
abx2+ab+xa2+xb2
abx2+a2x+bx2+ab
ax(xb+a)+b(bx+a)
(ax+b)(xb+a).
Hence, the answer is (ax+b)(xb+a).

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