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2. Polynomials
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Q32 of 274 Page 62

Factorize:

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

We have,



At first, we’ll take common from the expression


= abx2 + ab + a2x + b2x


= abx2 + a2x + ab + b2x


= ax (bx + a) + b (bx + a)


= (bx + a) (ax + b)


Hence,


The given expression can be factorized as:



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Factorize:

a(a – 2b – c) + 2bc

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Factorize:

a2x2 + (ax2 + 1)x + a

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Factorize:

x2 – (a + b)x + ab

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Factorize:

Questions · 274
2. Polynomials
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