Question

Factorise:

$30m {}^{2} + m - 3$
please factorise and explain the sum.​

Answer 1

Answer:

hey mate

30m²+m-3

30m²+(10-9)m-3

30m²+10m-9m-3

10m(3m+1)-3(3m+1)

(3m+1) (10m-3)

hope it will help you

Answer 2

Solution:-

=> 30m² + m - 3

we write the above polynomial splitting the middle term using the two factors which are - 9 and 10.

so,

=> 30m² + 10 m - 9m - 3

now, we take common 10m from

30m² + 10m and

we take common - 3 from - 9m - 3.

=> 10m( 3m + 1 ) - 3 ( 3m + 1 )

now we take common "3m + 1" so,

=> ( 10m - 3 ) ( 3m + 1 )

so final answer is

( 10m - 3 ) ( 3m + 1 )

i hope it helps you.