Binomial Theorem

Expand Correctly (Using Pascal's Triangle)
 $\left(x-3y\right)^4$  

•  $x^4-12x^3y+54x^2y^2-108xy^3+81y^4$  

•  $x^4+12x^3y-54xy+108x^3y-81y^4$  

•  $x^4+12x^3+54x^2y-108xy-81$  

Expand Completely. (Using Pascal's Triangle)
 $\left(x+3y\right)^4$  

•  $x^3+12x^3y+54x^2y^2+108xy^2+81y$  

•  $x^4+12x^3y+54x^2y^2+108xy^3+81y^4$  

•  $x^4-12x^3y-54x^2y^2-108xy^3-81y^4$  

Expand Correctly (Using Pascal's Triangle)
 $\left(2x-y\right)^4$ 

•  $y^4-8xy^3+24x^2y^2-32x^3y+16x^4$  

•  $16-32xy^3+24x^2y^2-8+y^4$  

•  $16x^4-32x^3y+24x^2y^2-8xy^3+y^4$  

Expand Completely. (Using Pascal's Triangle)
 $\left(2n+m\right)^4$  

•  $16n^4+32n^3m+24n^2m^2+8nm^3+m^4$  

•  $16n^4-32n^3m-24n^2m^2-8nm^3-m^4$  

•  $16n^4-32n^3m+24n^2m^2-8nm^3-m^4$  

Expand Completely. (Using Pascal's Triangle)
 $\left(3v-u\right)^4$  

•  $81v^4-108v^3u-54v^2u^2-12vu^3-u^4$  

•  $81v^4-108v^3u+54v^2u^2-12vu^3+u^4$  

•  $82v^4-110v^3u+56v^2u^2-14vu^3+u^4$  

Find the 3rd term in the expansion of  $\left(3b+a\right)^4$  

•  $50b^2a$  

•  $54ba$  

•  $54b^2a^2$  

•  $54ba^2$  

Find the 2nd term in the expansion of  $\left(b+a\right)^4$  

•  $4b^3a$  

•  $4ba$  

•  $4a^3b^3$  

•  $4ab$  

Find the 3rd term in the expansion of  $\left(2y+x\right)^4$  

•  $48y^2x^2$  

•  $24y^2x$  

•  $24yx$  

•  $24y^2x^2$  

Find the 2nd term in the expansion of $\left(2y+4x\right)^4$  

•  $128y^3x$  

•  $128y^2x^2$  

•  $84y^3x$  

•  $-128y^3x$  

 $\left(x+3y\right)^5$  Find the 5th term in the expansion of 

•  $405x^5y^5$  

•  $405xy$  

•  $405xy^5$  

•  $-405xy$