Question

Factorise 9m2 + 24m +16 with solution​

Answer 1

Answer:

(3m+4) is a factor of 9m²+24m+16

Step-by-step explanation:

9m²+24m+16=0

9m²+12m+12m+16=0

3m(3m+4)+4(3m+4)=0

(3m+4)(3m+4)=0

m=-4/3

Answer 2

Answer:

$(3m+4)^2$

Step-by-step explanation:

$9m^2+24m+16\\\\= 9m^2+12m+12m+16\\\\= 3m(3m+4)+4(3m+4)\\\\=(3m+4)(3m+4)\\\\=(3m+4)^2$

Alternative Method:

$9m^2+24m+16\\\\=(3m)^2+2(3m)(4)+4^2\\\\=(3m+4)^2$

[By $(a+b)^2 = a^2+2ab+b^2$]

Hope it helps!!! Please mark Brainliest!!!