Question

1)
a) 4x²+24x+36=
b) 49-14x+x² =
c) 36y² -100=
2)
a) (x-9)(x+9) =
b) (y-x)(y+x) =
c) (3x-7)(3x+7)=
d) (2-y)(2+y) =
3)
a) (x-3)(x+3)-x(x+4)+9=
b) (x-1)(x+2)- (x-2)²+5(1-x) =

Answer 1

1)a) 4x²+24x+36=4(x²+6x+9)=4(x+3)²
b) 49-14x+x² =(7-x)²
c) 36y² -100=(6y-10)(6y+10)
2)
a) (x-9)(x+9) = x²-81
b) (y-x)(y+x) =y²-x²
c) (3x-7)(3x+7)=9x²-49
d) (2-y)(2+y) =4-y²
3)
a) (x-3)(x+3)-x(x+4)+9=x²-9-x²-4x+9=-4x
b) (x-1)(x+2)- (x-2)²+5(1-x) =x²+x-2-(x²-4x+4)+5-5x=x²+x-2-x²+4x-4+5-5x=-6