1 Factorise completely.
(a) 2a+4+ap+2p
(b) 162 – 8t^2
2 answers:
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:
Step-by-step explanation:
a) 2a + 4 + ap + 2p = <u>2*a + 2*2</u> + <u>a *p + 2*p</u>
= 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)
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