Question

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

Answer 1

Step-by-step 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

Answer:

Step-by-step 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)