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Factor a4−8a2b2+16b4.
(a2−4b2)2
Factor x4+4x2+4.
(x2+2)2
Factor x4−5x2+4 completely.
(x−1)(x+1)(x−2)(x+2)
Factor 16x4−1.
(4x2−1)(4x2+1)
Expand (a+b+c)2.
a2+b2+c2+2ab+2bc+2ca
Expand (2x2−3)2−(2x2+3)2.
−24x2
Factor the quadratic trinomial x2−7x+10.
(x−2)(x−5)
Expand (x+y+z)3.
x3+y3+z3+3x2y+3x2z+3y2x+3y2z+3z2x+3z2y+6xyz
Factor completely x8−y8.
(x−y)(x+y)(x2+y2)(x4+y4)
Factor 64x3+1.
(4x+1)(16x2−4x+1)
Factor x3+3x2+3x+1.
(x+1)3
Factor the quadratic trinomial 3x2−11x+10.
(3x−5)(x−2)
Factor the expression 4x4−81y4.
(2x2−9y2)(2x2+9y2)
Expand (x2+2xy+y2)(x2−2xy+y2).
x4−2x2y2+y4
Expand (2x−3y)3.
8x3−36x2y+54xy2−27y3
Expand (x2+3)2−(x2−3)2.
12x2
Factor the quadratic trinomial 2x2+3x−2.
(2x−1)(x+2)
Factor 27a3+8b3.
(3a+2b)(9a2−6ab+4b2)
Factor the quadratic trinomial 2x2+8x+6 completely.
2(x+1)(x+3)
Expand and simplify (x+2y)(x−2y)(x2+4y2).
x4−16y4