Algebraic Identity (a+b)2=a2+2ab+b2
Algebraic Identity (a+b)2=a2+2ab+b2
Example 1
$$ (x+5)^2 =(x)^2+2(x)(5)+(5)^2 $$
$$ =x^2+10x+25 $$
Example 2
$$ (a+2)^2 =(a)^2+2(a)(2)+(2)^2 $$
$$ =a^2+4a+4 $$
Example 3
$$ (x+1)^2 =(x)^2+2(x)(1)+(1)^2 $$
$$ =x^2+2x+1 $$
Example 4
$$ (2x+3)^2 =(2x)^2+2(2x)(3)+(3)^2 $$
$$ =4x^2+12x+9 $$
Example 5
$$ (5y+6)^2 =(5y)^2+2(5y)(6)+(6)^2 $$
$$ =25y^2+60y+36 $$
Example 6
$$ (3n+4)^2 =(3n)^2+2(3n)(4)+(4)^2 $$
$$ =9n^2+48n+16 $$
Example 7
$$ (c+7d)^2 =(c)^2+2(c)(7d)+(7d)^2 $$
$$ =c^2+14cd+49d^2 $$
Example 8
$$ (x+9y)^2 =(x)^2+2(x)(9y)+(9y)^2 $$
$$ =x^2+18xy+81y^2 $$
Example 9
$$ (e+4f)^2 =(e)^2+2(e)(4f)+(4f)^2 $$
$$ =e^2+8ef+16f^2 $$
Example 10
$$ (3+5x)^2 =(3)^2+2(3)(5x)+(5x)^2 $$
$$ =9+30x+25x^2 $$
Example 11
$$ (1+2x)^2 =(1)^2+2(1)(2x)+(2x)^2 $$
$$ =1+4x+4x^2 $$
Example 12
$$ (4+6a)^2 =(4)^2+2(4)(6a)+(6a)^2 $$
$$ =16+48a+36a^2 $$
Example 13
$$ (2x+3y)^2 =(2x)^2+2(2x)(3y)+(3y)^2 $$
$$ =4x^2+12xy+9y^2 $$
Example 14
$$ (5g+2h)^2 =(5g)^2+2(5g)(2h)+(2h)^2 $$
$$ =25g^2+20gh+4h^2 $$
Example 15
$$ (9s+7t)^2 =(9s)^2+2(9s)(7t)+(7t)^2 $$
$$ =81s^2+126st+49t^2 $$