Multiply Binomials by Binomials and Trinomials

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.