Question

Factorise pairs of terms and then write the expression as a product of two expressions:

Answer 1

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• Factorise the following pairs of terms.

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$2ap + 2bp + 2qb + aq$

$= 2(ap + bp + bq + aq)$

$= 2(p(a + b) + q(a + b))$

$= 2(p + q)(a + b)$

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• $2(p + q)(a + b)$

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$8ap + 2bq + 2bp + 8aq$

$= 8ap + 8aq + 2bp + 2bq$

$= 8a(p + q) + 2b(p + q)$

$= (8a + 2b)(p + q)$

$=2 (4a + b)(p + q)$

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• $2 (4a + b)(p + q)$