Binomial Expansion L2.8

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.