Answer:
1) (x+5²)=x²+10x+25
2)(m-4²)=m²-8m+16
3)(3y-2²)=3y-4
4)(½y-50)(⅗y+10)=3/10y²-25-500
5)(n-6)(n-7)=n²-13n+42
6)(3d-2)(3d+2)=9d²-4
7)(a-12)(a+12)=a²-144
8)4(3d+1)(3d-1)=36d²-4
9)(2ab+3c)(2ab-3c)=4(ab²)-9c²
10)(2mn-5²=2mn-25
Step-by-step explanation:
1) (x+5²)=
step 1
expand the square
(x+5²)
(x+5)(x+5)
step 2
distribute
(x+5)(x+5)
x(x+5)+5(x+5)
step 3
distribute
x(x+5)+5(x+5)
x²+5x+5(x+5)
step 4
distribute
x²+5x+5(x+5)
x²+5x+5x+25
steps 5
combine like terms
x²+5x+5x+25
x²+10x25
solution=x²+10x25
