Answer Key 7.2

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1. \(8r^2(5r-1)-5(5r-1)\)
   \((5r-1)(8r^2-5)\)
2. \(5x^2(7x-2)-8(7x-2)\)
   \((7x-2)(5x^2-8)\)
3. \(n^2(3n-2)-3(3n-2)\)
   \((3n-2)(n^2-3)\)
4. \(2v^2(7r+5)-1(7r+5)\)
   \((7v+5)(2v^2-1)\)
5. \(3b^2(5b+7)-7(5b+7)\)
   \((5b+7)(3b^2-7)\)
6. \(6x^2(x-8)+5(x-8)\)
   \((x-8)(6x^2+5)\)
7. \(7x^2(5x-4)-4(5x-4)\)
   \((5x-4)(7x^2-4)\)
8. \(7n^2(n+3)-5(n+3)\)
   \((n+3)(7n^2-5)\)
9. \(7x(y-7)+5(y-7)\)
   \((y-7)(7x+5)\)
10. \(7r^2(6r-7)+3(6r-7)\)
    \((6r-7)(7r^2+3)\)
11. \(8x(2y-7)+1(2y-7)\)
    \((2y-7)(8x+1)\)
12. \(m(3n-8)+5(3n-8)\)
    \((3n-8)(m+5)\)
13. \(2x(y-4x)+7y^2(y-4x)\)
    \((y-4x)(2x+7y^2)\)
14. \(m(5n+2)-5(5n+2)\)
    \((5n+2)(m-5)\)
15. \(5x(8y+7)-y(8y+7)\)
    \((8y+7)(5x-y)\)
16. \(8x(y+7)-1(y+7)\)
    \((y+7)(8x-1)\)
17. \(12y+10xy+30+25x\)
    \(2y(6+5x)+5(6+5x)\)
    \((6+5x)(2y+5)\)
18. \(24xy-20x+25y^2-30y^3\)
    \(4x(6y-5)-5y^2(6y-5)\)
    \((6y-5)(4x-5y^2)\)
19. \(-6u^2+3uv+14u-7v\)
    \(-3u(2u-v)+7(2u-v)\)
    \((2u-v)(-3u+7)\)
20. \(56ab-16b-49a+14\)
    \(8b(7a-2)-7(7a-2)\)
    \((7a-2)(8b-7)\)