Question

Answer.. Plz!! 1rst one .BRAINLIEST!

Answer 1

Answer:

a) $\boxed{4m^2+20m+25}$

b) $\boxed{m^2-m+\frac{1}{4} }$

Step-by-step explanation:

a) $(2m+5)^2$

Using formula $(a+b)^2 = a^2+2ab+b^2$

=> $(2m)^2 + 2(2m)(5)+(5)^2$

=> $4m^2+20m+25$

b) $(m-\frac{1}{2} )^2$

Using Formula $(a-b)^2 = a^2-2ab+b^2$

=> $(m)^2 - 2(m)(\frac{1}{2} ) + (\frac{1}{2} )^2$

=> $m^2-m+\frac{1}{4}$

Answer 2

Answer:

a) $\boxed{4m^2 + 20m + 25}$

b) $\boxed{m^2 - m + \frac{1}{4} }$

Step-by-step explanation:

$(2m + 5)^2$

$(2m + 5) (2m + 5)$

Use FOIL method.

$2m(2m + 5)+5(2m + 5)$

$4m^2 + 10m + 10m + 25$

$4m^2 + 20m + 25$

$(m - \frac{1}{2} )^2$

$(m- \frac{1}{2})(m- \frac{1}{2})$

Use FOIL method.

$m(m- \frac{1}{2})- \frac{1}{2}(m- \frac{1}{2})$

$m^2- \frac{1}{2} m- \frac{1}{2}m+ \frac{1}{4}$

$m^2-m+ \frac{1}{4}$