Factor Completely.
1) \(4\left(x^2-2x+1\right)\left(x+5\right)^4+8\left(x-1\right)^2\left(x+5\right)^2\left(x^2+4x-5\right)\)
2) \(3x^5-18x^4+27x^3\)
3) \(r^2-18r+81-16k^2\)
4) \(x^4+4x^2-16x^2-64\)
5) \(-8xy-24y^2+2x^2\)
6) \(8x^2-6xy-9y^2+12xy\)
7) \( x^6 - 64 \) by difference of cubes AND by difference of squares
8) \( (w+3)^2 - w -9 \) using the substitution \( u = w+3 \) AND by expanding the original expression
Solution Bank
1) \(4\left(x^2-2x+1\right)\left(x+5\right)^4+8\left(x-1\right)^2\left(x+5\right)^2\left(x^2+4x-5\right)\)
2) \(3x^5-18x^4+27x^3\)
3) \(r^2-18r+81-16k^2\)
4) \(x^4+4x^2-16x^2-64\)
5) \(-8xy-24y^2+2x^2\)
6) \(8x^2-6xy-9y^2+12xy\)
7) \( x^6 - 64 \) by difference of cubes AND by difference of squares
8) \( (w+3)^2 - w -9 \) using the substitution \( u = w+3 \) AND by expanding the original expression
Solution Bank