Worksheets9-5 Factoring Differences of Squares A
Total questions: 9
Worksheet time: 43mins
Factor 121x2 - 49
(11x - 7) 2
(11x - 7) (11x - 7)
(11x + 7) (11x - 7)
(12x + 7) (12x - 7)
Factor each polynomial completely , if possible. If the polynomial cannot be factored, write prime.
32x4−2y4
2(4x2+y2)(4x2−y2)
prime
2(4x2+y2)(2x+y)(2x−y)
(4x2+y2)(2x+y)(2x−y)
Solve each equation by factoring.
4y2=25
y = {±25}
y = {-2, 3}
y = {-4, 4}
y = {-3, 5}
x2 + 81
Prime
( x - 9 ) ( x + 9 )
( x + 9 ) ( x + 9 )
( x - 9 ) ( x - 9 )
Factor r2 - 9t2
(r + 3t) (r - 3t)
(r - 3t) (r - 3t)
(3r + t) (3r - t)
(r + 3t) (r + 3t)
We can't factor using difference of two square this
49x2 + 4y2. Why?
Because 4 is not a perfect cubed number.
Because 4 is not a perfect squared number.
Because 49 is not a perfect squared number.
Because we can't factor using difference of two squares if it is addition sign.
Solve each equation by factoring.
x2−361=0
Factor 4m2 - 49
(2m + 7) (2m - 7)
(2m - 7) (2m - 7)
(m2 + 7) (m2 - 7)
Can't factor using Diff. of Squares
Factor each polynomial completely , if possible. If the polynomial cannot be factored, write prime.
4−9a2
