Squaring Binomials

Squaring Binomials

Speed Challenge

But first...

Let's review for a bit

To square a binomial...

Square the first term

In this case,  $\left(7u\right)\left(7u\right)=49u^2$  

Then, multiply the two terms, and then multiply by 2.

So here,  $\left(7u\right)\left(-4v\right)\left(2\right)=-56uv$  

Don't forget to take the SIGNS into account.

Finally, square the second term.

Negative times negative equals positive

 $\left(-4v\right)\left(-4v\right)\ =\ 16v^2$  

And that's the gist of it!

Ready?

Evaluate the following:

Multiple Choice

 $\left(6x+3\right)^2$  

•  $12x^{2\ }+\ 36x\ +\ 9$  

•  $12x^{2\ }+\ 36x\ +\ 6$  

•  $36x^2+36x\ +\ 9$  

•  $36x^{2\ }+\ 36x\ +\ 6$  

Multiple Choice

 $\left(4y-5\right)^2$  

•  $16y^2-40y\ +25$  

•  $16y^2-20y+25$  

•  $16y^2+40y\ +25$  

•  $16y^2-20y+25$  

Multiple Choice

 $\left(8m+3\right)^2$  

•  $64m^2+24m+9$  

•  $64m^2-24m+9$  

•  $64m^2+48m+9$  

•  $64m^2-48m+9$  

Multiple Choice

 $\left(7c\ -7\right)^2$  

•  $49c^2+98c+49$  

•  $49c^2-98c+49$  

•  $49c^2+49c\ +\ 49$  

•  $49c^2-49c+49$  

Multiple Choice

 $\left(4d+8\right)^2$  

•  $8d^2-16d+8$  

•  $16d^{2\ }-\ 64d\ +\ 64$  

•  $8d^{2\ }+16d\ +\ 8$  

•  $16d^2+64d\ +\ 64$  

Multiple Choice

 $\left(2x+6y\right)^2$  

•  $4x^2+24x\ +\ 36y^2$  

•  $4x^{2\ }+\ 24xy\ +36y^2$  

•  $4-24y+36y^2$  

•  $4x^2-24xy+36y^2$  

Multiple Choice

 $\left(5m-3n\right)^2$  

•  $5m^2-30mn-9n^2$  

•  $5m^2+30mn-9n^2$  

•  $5m^2-30mn+9n^2$  

•  $5m^2+30mn+9n^2$  

Multiple Choice

 $\left(2v^2-8\right)^2$  

•  $2v^4-32v^{2\ }+64$  

•  $4v^4-32v^2+64$  

•  $4v^4-32v\ +64$  

•  $2v^{4\ }-\ 32v^{ }\ +64$  

Multiple Choice

 $\left(7u^2+2u\right)^2$  

•  $49u^3+28u+4$  

•  $49u^3+28u^2+4u$  

•  $49u^4+28u^2+4u$  

•  $49u^4+28u^3+4u^2$  

Multiple Choice

 $\left(5x^2-4y^2\right)^2$  

•  $25x^4-40x^2y^2-16y^4$  

•  $25x^4-40x^2y^2+16y^4$  

•  $25x^4-20x^2y^2+16y^4$  

•  $25x^4-20x^2y^2-16y^4$  

The End!

How well did you do?