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Alenkinab [10]
3 years ago
12

. Factorize a² +3ab - 5ab - 15b²

Mathematics
1 answer:
kipiarov [429]3 years ago
4 0

Answer:

a² +3ab - 5ab - 15b² = (a+3b) (a-5b)

Step-by-step explanation:

We need to factorize a² +3ab - 5ab - 15b². Firstly we need to rearrange the expression such that,

a^2-5ab+3ab-15b^2=(a^2-5ab)+(3ab-15b^2)

Now taking a common from the first two terms and 3b from last two terms, then :

(a^2-5ab)+(3ab-15b^2)=a(a-5b)+3b(a-5b)

In the above expression, a factor (a-5b) is in both the terms. It would mean that,

a(a-5b)+3b(a-5b)=(a+3b)(a-5b)

So, the factors of a² +3ab - 5ab - 15b² are (a+3b) (a-5b).

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