Factor Completely
1. x^3y^2z3 + 5x^2y^3z^3 - 14xy^4z^3
2. 16p^2 - 36q^2
3. 5a^3bc - ab^2c +10a^2bc^2 - 2b^2c^2
4. 9(u-v)^2 + 6(u^2 - v^2) + (u + v)^2
5. s^4 - 3s^2 + 1 (hint: -3s^2 = -2s^2 - s^2
Factor Completely
1. x^3y^2z3 + 5x^2y^3z^3 - 14xy^4z^3
2. 16p^2 - 36q^2
3. 5a^3bc - ab^2c +10a^2bc^2 - 2b^2c^2
4. 9(u-v)^2 + 6(u^2 - v^2) + (u + v)^2
5. s^4 - 3s^2 + 1 (hint: -3s^2 = -2s^2 - s^2
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Verified answer
1) xy^2z^3 ( x^2 + 5xy - 14y^2)
xy^2z^3 ( x +7y) ( x- 2y) ANSWER
2) ( 4p +6q) ( 4p - 6q) ANSWER
3) bc ( 5a^3 - ab + 10a^2c - 2bc)
bc ( a ( 5a^2 - b) +2c ( 5a^2 - b) )
bc ( a +2c) ( 5a^2 - b) ANSWER
4) Let ( u - v) be = a and ( u + v) = b
u^2 - v^2 = ( u -v) ( u + v)
9a^2 + 6ab + b^2
( 3a + b) ^2
( 3(u-v) + (u +v) )^2
= ( 3u -3v + u + v )^2
= ( 4u - 2v)^2
= (2 ( 2u -v))^2 ANSWER
5) (s^2 -s -1)( s^2 +s -1) ANSWER