Answer:
5a(a - 2)
2(a^2 - 4)
(x + 5)(x - 5)
(x - 4)(x^2 + 4x + 16)
(a - 3)(a - 2)
(x^2 + x + 1)(x^2 - x - 1)
Step-by-step explanation:
5a^2 - 10a factor out GCF
5a(a - 2)
2a^2 - 8 factor out GCF
2(a^2 - 4)
x^2 - 25 difference of squares
(x + 5)(x - 5)
x^3 - 64 difference of cubes
(x - 4)(x^2 + 4x + 16)
a^2 - 5a + 6 factors of 6 that add to -5
a^2 - 2a - 3a + 6
a(a - 2) - 3(a - 2)
(a - 3)(a - 2)
x^4 - x^2 - 2x - 1 group last three terms
x^4 + (-x^2 - 2x - 1)
x^4 - (x^2 + 2x + 1) factors of 1 that add to 2
x^4 - (x + 1)(x + 1)
x^4 - (x + 1)^2 difference of squares
(x^2 + (x + 1))(x^2 - (x + 1)) simplify
(x^2 + x + 1)(x^2 - x - 1)
