5)
y² - 16y + 64
y - 8
y - 8
(y - 8)(y - 8)
FOIL
y(y) = y²
y(-8) = -8y
y(-8) = -8y
-8(-8) = 64
y² - 8y - 8y + 64
y² - 16y + 64 (True)
6) x² + 4x + 4
x 2
x 2
(x + 2)(x + 2)
FOIL:
x(x) = x²
x(2) = 2x
2(x) = 2x
2(2) = 4
x² + 2x + 2x + 4
x² + 4x + 4 (True)
7) x² + 2x + 1
x 1
x 1
(x + 1)(x + 1)
FOIL:
x(x) = x²
x(1) = x
1(x) = x
1(1) = 1
x² + x + x + 1
x² + 2x + 1 (True)
8) j² + 40j + 400
j 20
j 20
(j + 20)(j + 20)
FOIL
j(j) = j²
j(20) = 20j
(20)j = 20j
20(20) = 400
j² + 20j + 20j + 400
j² + 40j + 400 (True)
9) 25n² + 40np + 16p²
(5n 4p)
(5n 4p)
(5n + 4p)²
FOIL
(5n + 4p) (5n + 4p)
25n² + 20np + 20np + 16p²
25n² + 40np + 16p² (True)
10) 2/3w² + 12w + 81
3/2(w² + 8w + 54)
w² + 8w + 54 (This is simplified, i can't find factors of 54 that add up to 8 sorry)
but hope this helps
