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Factorise : 81 − (a−2)^2
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14 votes
Factorise : 81 − (a−2)^2

User Johnluetke
by
4.4k points

1 Answer

10 votes

Answer:

(11 - a)(7 + a)

Explanation:

81 - (a - 2)² ← is a difference of squares and factorises in general as

a² - b² = (a - b)(a + b) , then

81 - (a - 2)²

= 9² - (a - 2)²

= (9 - (a - 2) )(9 + (a - 2) )

= (9 - a + 2)(9 + a - 2)

= (11 - a)(7 + a)

User Wulimaster
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3.8k points
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