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Factorise: 8 + 6(A + B) - 5(A + B)2 - Mathematics

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Sum

factorise: 8 + 6(a + b) - 5(a + b)2 

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Solution

8 + 6(a + b) - 5(a + b)2 

Let a + b = x

(a + b)2 = x2

8 + 6 (a+b) - 5(a + b)2

= 8 + 6x - 5x2

= 8 + 10x - 4x - 5x2

= 2(4 + 5x) - x (4 + 5x)

= (4 + 5x)(2 - x)

= [4 + 5(a + b)] [2 - (a + b)]

(Substituting the value of x)

= [4 + 5a + 5b][2 - a - b]

Concept: Factorisation by Grouping
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 13 Factorisation
Exercise 13 (D) | Q 24 | Page 161
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