Multiplying Special Case Binomials

Multiplying Special Case Binomials

Poll

 Where are you now? How well could you tackle this:  $\left(2x+5\right)\left(x-1\right)?$  

• Confident - I could do this on my own. Ready for a quiz or test.

• Getting there - I think I understand, but I need more practice.

• Struggling - It's difficult for me to multiply without direct help.

• Clueless - Even with help, and watching the videos, I have no idea what to do.

Multiple Choice

Give it a try:  $\left(2x+5\right)\left(x-1\right)$  

• $2x^2+3x-6$

• $2x^2+7x+5$

• $2x^2+3x-5$

• $2x^2-3x-5$

Let's Learn about Special Cases

Perfect Square Binomials

Difference of Squares

Perfect Square Binomials

Ex: $\left(2x+3\right)^2=4x^2+12x+9$  

Ex:  $\left(3x-4\right)^2=9x^2-24x+16$  

Multiple Choice

You try : Find the product  $\left(x+3\right)^2$  

•  $x^2+6x+9$  

•  $x^2+9$  

•  $x^2+3x+9$  

•  $x^2+6x+6$  

Multiple Choice

You try : Find the product  $\left(x+5\right)^2$  

•  $x^2+25$  

•  $x^2+10x+25$  

•  $x^2+10x+10$  

•  $x^2+10$  

Multiple Choice

You try : Find the product $\left(5x-3\right)^2$  

•  $25x^2-9$  

•  $5x^2-15x-9$  

•  $25x^2-30x+9$  

•  $5x^2+30x-3$  

Difference of Squares

Ex:  $\left(5x+7\right)\left(5x-7\right)=25x^2-49$  

Ex:  $\left(x+6\right)\left(x-6\right)=x^2-36$  

Multiple Choice

You try : Find the product $\left(2x+4\right)\left(2x-4\right)$  

•  $2x^2-4$  

•  $4x^2-8$  

•  $4x^2-4$  

•  $4x^2-16$  

Multiple Choice

You try: Find the product $\left(3x-2\right)\left(3x+2\right)$  

•  $9x^2-4$  

•  $9x^2+4$  

•  $3x^2-2$  

•  $3x^2-4$  

Multiple Choice

You try : Find the product $\left(x+7\right)\left(x-7\right)$  

•  $2x-14$  

•  $x^2-49$  

•  $2x^2-14$  

•  $x^2+49$  

Poll

How do you feel after today's lesson?

• Confident - I could do this on my own.

• Getting there - I think I need more practice.

• Struggling - I have no clue how to solve these problems.