Question

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

Answer 1

Answer:

2(a+b)(p+q)

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

Step-by-step explanation:

d.2ap+2bp+2qb+2qa

 2ap+2qa+2bp+2qb

 2a(p+q)+2b(p+q)

  (2a+2b)(p+q)

  2(a+b)(p+q)

e. 8ap+2bq+2pb+8aq

    8ap+8aq+2pb+2bq

   8a(p+q)+2b(p+q)

    (8a+2b)(p+q)

    2(4a+b)(p+q)

Answer 2

$\star\:\:\:\bf\large\underline\blue{Question:-}$

• Factorise the following pairs of terms.

$\star\:\:\:\bf\large\underline\blue{Solution:-}$

$\star\:\:\:\bf\underline\blue{Question\:1:-}$

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

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

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

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

$\star\:\:\:\bf\underline\blue{Answer:-}$

• $2(p + q)(a + b)$

$\star\:\:\:\bf\underline\blue{Question\:2:-}$

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

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

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

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

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

$\star\:\:\:\bf\underline\blue{Answer:-}$

• $2 (4a + b)(p + q)$