binomial expansion

Binomial Expansion

Lesson 2.8

​

Before you watch the video to learn binomial expansion, practice the multiplying that you already know how to do on the next slides.

Multiple Choice

What is (x - 8)²?

• x² - 16

• x² + 64

• x² + 16x + 64

• x² -16x + 64

Did you remember to FOIL?

​

Multiple Choice

Find the product:  $\left(2x+5\right)^3$  

Don't pick that short answer!

•  $8x^3+60x^2+150x+125$  

•  $8x^3+125$  

•  $8x^3+150x^2+60x+125$  

•  $8x^3+20x^2+50x+125$  

Ready for the Shortcut?

Watch the video and take notes on page 28 or on notebook paper. I posted the video separately in google classroom. Did you watch it already?

Multiple Choice

Can you choose the correct expansion based on the signs of the answer choices?

(1 - x)⁵

• 1 − 5x + 10x² − 10x³ + 5x⁴ − x⁵

• 1 + 5x + 10x² + 10x³ + 5x⁴ + x⁵

• 1 − 5x + 10x² + 10x³ + 5x⁴ − x⁵

Multiple Choice

Select the correct expansion of

(1 + 4x)³

• 1 + 12x + 12x² + 4x³

• 1 + 12x + 48x² + 64x³

• 1 + 3x + 3x² + x³

• 1 + 4x + 16x² + 64x³

Multiple Choice

Expand  $\left(4x-y\right)^3$  

•  $64x^3-48x^2y+12xy^2-y^3$  

•  $64x^3-16x^2y+4xy^2-y^3$  

•  $256x^3-96x^2y+16xy^2-y^3$  

•  $320x^3-160x^2y+40xy^2-5y^3$  

Expand:

(x - 2y)³

only 20 seconds on the next slide!!!!!!

Multiple Choice

Expand:

(x - 2y)³

• x³ - 8y³

• x² - 4xy + 4y²

• x³ + 6x²y + 12xy² + 8y³

• x³ - 6x²y + 12xy² - 8y³

keep working... you can do it!

​

Multiple Choice

Find the expansion

• x³ + x²y + xy² + y³

• x³ + 6x²y² + y³

• x³ + 6xy + y³

• x³ + 3x²y + 3xy² + y³

Multiple Choice

Choose the right Pascal's triangle

Multiple Choice

Expand: $(2x-3)^4$   

•  $16x^4-96x^3+216x^2-216x+81$  

•  $16x^4+96x^3+216x^2+216x+81$  

•  $16x^4+98x^3+216x^2+216x+81$  

•  $16x^4-98x^3+216x^2-216x+81$  

Just 3 more problems!

​

Find the 2nd term in the expansion of

(2b + 1)³

20 seconds on the next slide!!!!!!!!!!!!!!!!!!!!!!!!

Multiple Choice

Find the 2nd term in the expansion of

(2b + 1)³

• 12b²

• 6b

• 8b³

• 4b²

Multiple Choice

How many terms are in the expansion of (1+b)⁵ ?

• 5

• 6

• 25

• 50

• 3

What is the third term in the expansion of (x + 4)⁵?

20 seconds on the next slide

Multiple Choice

What is the third term in the expansion of (x + 4)⁵?

• 640 x²
• 160 x³
• 4 x⁵
• 64 x³

What next?

Is your packet work finished? If so, you are ready for the Quiz 2.7-8.