Question

factorise:-
${5m}^{2} + 20m - 60$

Answer 1

Q. Factorisation »

5m² + 20m - 60

= 5m² + (30 - 10)m - 60

= 5m² + 30m - 10m - 60

= 5m(m + 6) - 10(m + 6)

= (m + 6) (5m - 10)

Answer » (m + 6) (5m - 10)

Explaination »

Here, we had used Middle Term Factor.

We need to take the first digit and last digit.

First Digit = 5

Last Digit = 60

∴ (60 × 5) = 300 = (30 × 10)

Hence, we can use (30 - 10)

As, (30 - 10) = 20

And the middle term is 20.

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