Algebra :)

Diff of square

100

81p²-25

(9p+5)(9p-5)

200

p²-64

(p+8)(p-8)

300

4x²-81y²

(2x+9y)(2x-9y)

400

9x²-16

(3x+4)(3x-4)

500

What’s the formula for difference of squares?

a²-b²=(a+b)(a-b)

Vocab

100

Define monomial

One term

200

Define function notation 

Change the y to f(x)

300

Define polynomial 

More than 3 terms 

400

Define trinomial 

Three terms

500

Define binomial

Two terms

Diff of cubes

100

64c³-125

(4c+5)(16c²-20c+25)

200

8j³-125

(2j-5)(4j²+10j+25)

300

125u³-27

(5u-3)(25u²+15u+9)

400

27x³-8

(3x-2)(9x²+6x+4)

500

What’s the formula to solve difference of cubes?

a³-b³=(a-b)(a²+ab+b²)

Sum of cubes

100

64x³+b³

(4x+b)(16x²-4xb+b²)

200

27y³+8

(3y+2)(9y²-6y+4)

300

64x³+27

(4x+3)(16x²-12x+9)

400

-5x³+625y⁶

-5(x-5y²)(x²+5xy²+25y⁴)

500

What’s the formula to help solve a sum of cube problem?

a³+b³=(a+b)(a²-ab+b²)

Exponent rule

100

H²x H⁶=

H⁸

200

(x²)³

_x⁶

300

(-2m⁵)²x m³

-2m¹³

400

(-2a²b)x(7a³b)

14a⁵b²

500

7x⁰

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