Answer:Step-by-step explanation:Rewrite 100x2100x2 as (10x)2(10x)2.(10x)2+60x+9(10x)2+60x+9Rewrite 99 as 3232.(10x)2+60x+32(10x)2+60x+32Check the middle term by multiplying 2ab2ab and compare this result with the middle term in the original expression.2ab=2⋅(10x)⋅32ab=2⋅(10x)⋅3Simplify.2ab=60x2ab=60xFactor using the perfect square trinomial rule a2+2ab+b2=(a+b)2a2+2ab+b2=(a+b)2, where a=10xa=10x and b=3b=3.(10x+3)2