Question

1 Factorise completely.
(a) 2a+4+ap+2p
(b) 162 – 8t^2

Answer 1

Explanation:

a. 2a + 4 + ap + 2p

2a + ap + 4 + 2p

a (2 + p) + 2 (2 + p)

= ( a + 2) ( 2 + p)

b. 162 - 8t^2

2( -4t^2 + 81)

Answer 2

Explanation:

a) 2a + 4 + ap + 2p = 2*a + 2*2 + a *p + 2*p

= 2(a + 2) + p(a + 2)

= (a +2) (2 + p)

b) 162 - 8t² = 2*81 - 2*4t²

= 2 (81 - 4t²)

= 2( 9² - (2t)² ) {a² - b² = (a + b)(a -b)

= 2 ( 9 + 2t) (9 - 2t)