Question

15
7. Find the value of 36m² + 24mn +4n², when m = 4 and n = -7.
​

Answer 1

(6m+2n)^2

(24-14)^2

10^2

100

Answer 2

$\underline\bold{\huge{SOLUTIONS\: :}}$

Hi if u put the value directly into it

you will take long time to complete it.

so, first you Convert it into the formula

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

So, Now

X=

$36m^{2} =( 6m)^{2}$

Y=

$4n^{2} = (2n)^{2}$

2xy=

$2 \times 6m \times 2n$

So, Now it is on the form

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

So, putting the value we got

$(6m + 2n)^{2}$

put the value m=4

And n=-7

So,

[6×4+2(-7)]^2. (since (-)×(+)=-)

=

$(24 - 14)^{2} = 10^{2}$

=

$100$

$\underline\bold{So, the \:value\: is \:100\: :}$