Question

9.4 MARKS
Factorise:
(1) X2 - 22x + 117
(2) 25 - a2-b2 - 2ab
Yower
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Answer 1

Step-by-step explanation:

1.To Factorise : x

2

−22x+117

By splitting the middle term

=x ² −13x−9x+117

=x(x−13)−9(x−13)

=(x−9)(x−13)

So, x ²−22x+117=(x−9)(x−13)

2.25−a ²−b ² −2ab

5²−a²−b ² −2ab

5 ² −(a² +b ²+2ab)

5 ² −(a ²+b ²+2×a×b)

5 ² −(a +b)²

(5+a−b)(5−a+b)