Question

Expand using suitable identity a)(2m+ 5)^2 b)(m−12)^2 (its a little urgent, thankyou!!)

Answer 1

Answer:

The suitable equation is (a+b)^2= a^2+2ab+b^2 and (a-b)=a^2-2ab+b^2

Step-by-step explanation:

(2m+5)^2=(2m)^2+2*2m*5+5^2

=>4m^2+20m+25

(m-12)^2= m^2-2*m*12-12^2

=>m^2-24m+144

Answer 2

Answer:

a)2m²+20m+5²

b)m²-m+1/2²

Step-by-step explanation:

a) (2m+5)²

Answer: (2m+5)²

[ Identity to be used must be (a+b)²= a²+2ab+b²]

Here a=2m and b=5

(2m+5)²= 2m²+(2 x 2m x 5)+5²

            = 2m²+20m+5²

b)(m−1/2)²

Answer: [ Identity to be used must be (a-b)²= a²-2ab+b²]

     Here a=m and b=1/2

     (m-1/2)²=m²-2 x m x ½+1/2²

                  =m²-m+1/2²