Factor out the greatest common factor from each polynomial. See Example 1. (4z-5)(3z-2)-(3z-9)(3z-2)

Factor out the greatest common factor from each polynomial. See Example 1. 2(m-1)-3(m-1)²+2(m-1)³

Factor out the greatest common factor from each polynomial. See Example 1. 5(a+3)³-2(a+3)+(a+3)²

Concept Check When directed to completely factor the polynomial $4x^2{y}^5-8x{y}^3$,a student wrote $2x{y}^3(2x{y}^2-4)$. When the teacher did not give him full credit, he complained because when his answer is multiplied out, the result is the original polynomial. Give the correct answer.

Concept Check Kurt factored 16a²-40a-6a+15 by grouping and obtained (8a-3)(2a-5). Callie factored the same polynomial and gave an answer of (3-8a)(5-2a). Which answer is correct?

Factor each polynomial by grouping. See Example 2. 10ab-6b+35a-21

Factor each polynomial by grouping. See Example 2. $4x^6+36-x^{6}y-9y$

Factor each polynomial by grouping. See Example 2. $20z^2-8x+5p{z}^2-2px$

Factor each trinomial, if possible. See Examples 3 and 4. 8h²-2h-21

Factor each trinomial, if possible. See Examples 3 and 4. $9x^2+4x-2$

Factor each trinomial, if possible. See Examples 3 and 4. 36x³+18x²-4x

Factor each trinomial, if possible. See Examples 3 and 4. 14m²+11mr-15r²

Factor each trinomial, if possible. See Examples 3 and 4. 5a²-7ab-6b²

Factor each trinomial, if possible. See Examples 3 and 4. $12s^2+11st-5t^2$

Factor each trinomial, if possible. See Examples 3 and 4. $12x^2-xy-y^2$

Factor each trinomial, if possible. See Examples 3 and 4. $24a^4+10a^{3}b-4a^2{b}^2$

Factor each trinomial, if possible. See Examples 3 and 4. 9m² -12m+4

Factor each trinomial, if possible. See Examples 3 and 4. $32a^2+48ab+18b^2$

Factor each trinomial, if possible. See Examples 3 and 4. 4x²y²+28xy+49

Factor each trinomial, if possible. See Examples 3 and 4. 9m²n²+12mn+4

Factor each trinomial, if possible. See Examples 3 and 4. (a-3b)²-6(a-3b)+9

Factor each trinomial, if possible. See Examples 3 and 4. (2p+q)²-10(2p+q)+25

Factor each polynomial. See Examples 5 and 6. 9a²-16

Factor each polynomial. See Examples 5 and 6. x⁴-16

Factor each polynomial. See Examples 5 and 6. y⁴-81

Factor each polynomial. See Examples 5 and 6. 25s⁴-9t²

Factor each polynomial. See Examples 5 and 6. $36z^2-81y^4$

Factor each polynomial. See Examples 5 and 6. (a+b)²-16

Factor each polynomial. See Examples 5 and 6. (p-2q)²-100

Factor each polynomial. See Examples 5 and 6. $x^2-8x+16-y^2$