Binomial Expansions

Expand  $\left(x+y^3\right)^4$  

•  $x^4+4x^3y^3+6x^2y^6+4xy^9+y^{12}$  

•  $x^4+x^3y^3+x^2y^6+xy^9+y^{12}$  

•  $6x^4+15x^3y^3+20x^2y^6+15xy^9+6y^{12}$  

•  $x^4+4x^3y^3+4x^2y^6+4xy^9+y^{12}$  

Tags

CCSS.HSA.APR.C.5

Expand  $\left(u^2-2\right)^3$  

•  $u^6-6u^4+12u^2-8$  

•  $u^6-16u^4+12u^2-8$  

•  $5u^6-20u^4+40u^2-40$  

•  $u^6-24u^4+12u^2-8$  

Tags

CCSS.HSA.APR.C.5

Expand  $\left(4x-y\right)^3$  

•  $64x^3-48x^2y+12xy^2-y^3$  

•  $64x^3-16x^2y+4xy^2-y^3$  

•  $256x^3-96x^2y+16xy^2-y^3$  

•  $320x^3-160x^2y+40xy^2-5y^3$  

Tags

CCSS.HSA.APR.C.5

Expand  $\left(4n-1\right)^4$  

•  $256n^4-256n^3+96n^2-16n+1$  

•  $1280n^4-640n^3+160n^2-20n+1$  

•  $1536n^4-960n^3+320n^2-60n+6$  

•  $256n^4-64n^3+16n^2-4n+1$  

Tags

CCSS.HSA.APR.C.5

Expand  $\left(2y+x\right)^5$  

•  $32y^5+80y^4x+80y^3x^2+40y^2x^3+10yx^4+x^5$  

•  $192y^5+240y^4x+160y^3x^2+60y^2x^3+12yx^4+x^5$  

•  $32y^5+16y^4x+8y^3x^2+4y^2x^3+2yx^4+x^5$  

•  $2224y^5+336y^4x+280y^3x^2+140y^2x^3+42yx^4+7x^5$  

Tags

CCSS.HSA.APR.C.5

Find the term containing  $u^2$  in the expansion of  $\left(u-3\right)^5$  

•  $-270u^2$  

•  $90u^2$  

•  $-27u^2$  

•  $405u^2$  

Tags

CCSS.HSA.APR.C.5

Find the term containing  $x^5$  in the expansion of  $\left(2y+x\right)^7$  

•  $84y^2x^5$  

•  $280y^3x^5$  

•  $672y^2x^5$  

•  $14y^3x^5$  

Tags

CCSS.HSA.APR.C.5

Find the term containing  $m^5$  in the expansion of  $\left(2m+3\right)^7$  

•  $6048m^5$  

•  $288m^5$  

•  $2016m^5$  

•  $20412m^5$  

Tags

CCSS.HSA.APR.C.5

Find the term containing  $y^3$  in the expansion of  $\left(y+2\right)^6$  

•  $160y^3$  

•  $8y^3$  

•  $120y^3$  

•  $56y^3$  

Tags

CCSS.HSA.APR.C.5

Find the term containing  $b^3$  in the expansion of  $\left(b-2\right)^6$  

•  $-160b^3$  

•  $-80b^3$  

•  $-20b^3$  

•  $4b^3$  

Tags

CCSS.HSA.APR.C.5