Question

expand the following using suitable identity (5m+2n)²
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Answer 1

Identity=(a+b)^2=a^2+b^2*2ab
(5m+2n)^2=(5m)^2+(2n)^2+2(5m)(2n)
25m^2+4n^2+20mn

Answer 2

Answer:

$\huge{\boxed{\rm{\red{25m²+20mn+4n²}}}}$

Step-by-step explanation:

Given expression is (5m+2n)²

This is in the form of (a+b)²

Here , a=5m and b=2n

we know that (a+b)²=a²+2ab+b²

(5m+2n)²=(5m)²+2(5m)(2n)+(2n)²

(5m+2n)²=25m2+20mn+4n²