1) Difference of squares: (5a + c)(5a - c)2) Difference of squares: (x + 2y)(x - 2y)3) Difference of cubes: (3a - 4b)(9a² + 12ab + 16b²)4) Group the terms: a²(a - b) + ab(a - b) + 3(a - b) = (a + ab + 3)(a - b)5) Factor out common terms: 3(b + a)(1 + c)6) Perfect square trinomial: (c - 3)² - (2x)² = (c - 3 - 2x)(c - 3 + 2x)7) Rearrange terms: (y + 1)(x + 1)(y + x + 4)
1) Difference of squares: (5a + c)(5a - c)
2) Difference of squares: (x + 2y)(x - 2y)
3) Difference of cubes: (3a - 4b)(9a² + 12ab + 16b²)
4) Group the terms: a²(a - b) + ab(a - b) + 3(a - b) = (a + ab + 3)(a - b)
5) Factor out common terms: 3(b + a)(1 + c)
6) Perfect square trinomial: (c - 3)² - (2x)² = (c - 3 - 2x)(c - 3 + 2x)
7) Rearrange terms: (y + 1)(x + 1)(y + x + 4)