Question

Factorise :- m square + 3 m + 9/4​

Answer 1

Answer:

m²+3m+9/4

m²+(2)(3/2)(m) + (3/2)²

using a²+2ab+b²=(a+b)²

(m+3/2)²

Answer 2

${\tt {\red {\underline {\huge {Answer}}}}}$

${m}^{2} + 3m + \frac{9}{4}$

Factor out 1/4 from expression

$\frac{1}{4} ( {4m}^{2} + 12m + 9)$

$\large\red {Using Identity}$

$\large\red{ {(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2}}$

$\frac{1}{4} {(2m + 3)}^{2}$

hope it helps you.........