MULTIPLING POLYNOMIALS!

MULTIPLYING MONOMIALS

100

(3xy²)(5x³y)

15x⁴y³

200

(10a²b³c⁵)(3a²bc)

30a⁴b⁴c⁶

300

(0.5x³y²)(8x²y³)

4x⁵y⁵

400

(4x)(5xy)(5y)

100x²y²

500

(2a³b)(4a²b)(5ab⁴)

40a⁶b⁶

MONOMIAL x POLYNOMIAL

100

x(2x + 3)

2x² + 3x

200

2x(3x - 5)

6x² - 10x

300

xy(y² + 3x - 7)

xy³ + 3x²y - 7xy

400

(2x²)(3x² + 2x + 1)

6x⁴ + 4x³ + 2x²

500

(5a³b²)(2ab² - 5a²b³ - 3a³b⁵)

10a⁴b⁴ - 25a⁵b⁵ - 15a⁶b⁷

BINOMIAL x BINOMIAL

100

(x + 2)(x + 1)

x² + 3x + 2

200

(x + 5)(x - 2) 

x² + 3x - 10

300

(2x + 1)(x + 2)

2x² + 5x + 2

400

(3x + 2)(2x - 1)

6x² + x - 2

500

(xy + 5)(xy + 10)

x²y² + 15xy + 50

SQUARING BINOMIALS

100

(x + 5)²

(x + 5)² =(x + 5)(x + 5)

= x² + 10x + 25

200

(x - 6)²

(x - 6)² =(x - 6)(x - 6)

= x² - 12x + 36

300

(x + 1)²

(x + 1)² =(x + 1)(x + 1)

= x² + 2x + 1

400

(x + y)²

(x + y)² =(x + y)(x + y)

= x² + 2xy + y²

500

(x + 3y)²

(x + 3y)² =(x + 3y)(x + 3y)

= x² + 6xy + 9y²

SPECIAL CASES

100

(x + 3)(x - 3)

x² - 9

200

(x - 5)(x + 5)

x² - 25

300

(x + 4)(x - 4)

x² - 16

400

(x + y)(x - y)

x² - y²

500

(2x + 10)(2x - 10)

4x² - 100