Factoring Sums and Differences of Cubes

 $Factor:\ \ x^3-1000$  

•  $\left(x-10\right)\left(x^2-10x+100\right)$  

•  $\left(x-1000\right)\left(x^2+20x+100\right)$  

•  $\left(x-10\right)\left(x^2+10x+100\right)$  

•  $\left(x-100\right)\left(x+10x+100\right)$  

Tags

CCSS.HSA.APR.C.4

 $Factor:\ \ 8x^3-1$  

•  $\left(2x-1\right)\left(4x^2+2x+1\right)$  

•  $\left(4x-1\right)\left(16x^2+2x+1\right)$  

•  $\left(8x-1\right)\left(64x^2+8x+1\right)$  

•  $\left(2x-1\right)\left(4x^2-2x-1\right)$  

Tags

CCSS.HSA.APR.C.4

 $Factor:\ \ 27x^3-8y^3$  

•  $\left(3x-2y\right)\left(6x^2-12xy+4y^2\right)$  

•  $\left(3x-2y\right)\left(9x^2-6xy+4y^2\right)$  

•  $\left(6x-4y\right)\left(36x^2-24xy+16y^2\right)$  

•  $\left(3x-2y\right)\left(9x^2+6xy+4y^2\right)$  

Tags

CCSS.HSA.APR.C.4

 $Factor:\ \ x^3+125$  

•  $\left(x+25\right)\left(x^2+25x+25\right)$  

•  $\left(x+5\right)\left(x^2+5x+25\right)$  

•  $\left(x+5\right)\left(x^2-5x+25\right)$  

•  $\left(x-5\right)\left(x^2+5x+25\right)$  

Tags

CCSS.HSA.APR.C.4

 $Factor:\ \ 125a^3-64b^3$  

•  $\left(5a-4b\right)\left(25a^2-20ab+16b^2\right)$  

•  $\left(25a-16b\right)\left(5a^2+20ab+4b^2\right)$  

•  $\left(5a-4b\right)\left(25a^2+20ab+16b^2\right)$  

•  $\left(25-4b\right)\left(5a^2-40ab+16b^2\right)$  

Tags

CCSS.HSA.APR.C.4

 $Factor:\ \ x^3y^3+216$  

•  $\left(xy+6\right)\left(xy-6xy+12\right)$  

•  $\left(x^2y^2+6\right)\left(x^4y^4-6x^2y^2+36\right)$  

•  $\left(xy+6\right)\left(x^2y^2-6xy+36\right)$  

•  $\left(xy+6\right)\left(x^2y^2-6xy+12\right)$  

Tags

CCSS.HSA.APR.C.4

 $Factor:\ \ 216x^3+125y^3$  

•  $\left(3x+5y\right)\left(9x^2-15xy+25y^2\right)$  

•  $\left(6x+5y\right)\left(36x^2+30xy-25y^2\right)$  

•  $\left(108x+25y\right)\left(6x^2-60xy+50y^2\right)$  

•  $\left(6x+5y\right)\left(36x^2-30xy+25y^2\right)$  

Tags

CCSS.HSA.APR.C.4

 $Factor:\ \ x^3-729y^3$  

•  $\left(x-9y\right)\left(x^2+9xy+81y^2\right)$  

•  $\left(x-3y\right)\left(x^2+3xy+9\right)$  

•  $\left(x-9y\right)\left(x^2+18xy+18y^2\right)$  

•  $\left(x-3y\right)\left(x^2+3xy+81y^2\right)$  

Tags

CCSS.HSA.APR.C.4

 $Factor:\ \ 27x^3-1$  

•  $\left(3x-1\right)\left(6x^2+3x+2\right)$  

•  $\left(9x-1\right)\left(3x^2+27x+1\right)$  

•  $\left(3x-1\right)\left(9x^2+3x+1\right)$  

•  $\left(3x-1\right)\left(9x^2-3x-1\right)$  

Tags

CCSS.HSA.APR.C.4

 $Factor:\ \ 125x^3+8y^3$  

Tags

CCSS.HSA.APR.C.4