Question

2m2+4m+30 Factorise the following

Answer 1

Answer:

2m²+4m+30

= 2m²+10m-6m+30

= 2m (m+5) - 6 ( m -5)

Answer 2

Step-by-step explanation:

Given:

The equation $2m^{2}+4m-30$.

To find:

The factorisation of $2m^{2}+4m-30$.

Solution:

$2m^{2}+4m-30$

$=2({{m}^{2}}+2m-15)$    [∵ Taking 2 common from the whole equation]

Here, the 1st term $=m^{2}$ and its coefficient $=1$

Middle term $=2m$ coefficient $-2$.

Constant $=-15$.

$=2({{m}^{2}}-3m+5m-15)$  [∵ $-3m+5m = 2m$]

$=2[m(m-3)+5(m-3)]$

$=2[(m-3)(m+5)]$

The final result is $2[(m-3)(m+5)]$.