Q12: Factorize: a ^ 3 * b - a ^ 2 * b + 5ab - 5b
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To Factorise :
- a³ × b - a² × b + 5ab - 5b
Solution :
a³b - a²b + 5ab - 5b
→ a²b (a - 1) + 5b (a - 1)
→ (a - 1)(a²b + 5b)
→ (a - 1)b(a² + 5)
→ b(a² + 5)(a - 1)
∴ Required answer :
Factors are :
- (a²b + 5b) & (a - 1)
Verification :
b(a² + 5)(a - 1)
→ (a²b + 5b)(a - 1)
→ a³b + a²b + 5ab - 5b
- Hence Verified.
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