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Adding Polynomials

100

(8x⁵+7)+(10a⁵+7m-3)

18a⁵+7m+4

200

(3x²+15x+9)+(2x²-10x-5)

=5x²+5x+4

300

 (2x²-35x+27)+(9x²+56x-23) 

11x²+21x+4

500

(54x + 723) + (x² - 70x - 49)

x² - 16x + 772

Subtracting Polynomials

100

(-8x³+x)-(3x-4-6x³)

-2x³-2x+4

200

(9x²+3x-15)-(-9x²-3x+15)

=18x²+6x-30

300

(3x²+58x-22) - (4x²+42x+32)

-x²+16x-54

500

(7x² - 14x +56) - (-10 + 23x - 72)

17x² - 37x + 128

Multiplying Polynomials

100

(5x-4)(4x-6)

20x²-46x+24

200

(2x²+8x-12)(3x-6)

=6x³+12x²+12x+72

300

(3x²+2x+6) (x+4)

3x²+14x²+14x+24

500

(12x² + 4x - 8)(x - 2)

12x³ - 20x² - 16x +16

Dividing Polynomials

100

(x³-16) / (x-4)

x²+4x+16+48/x-4

200

(x²-6x+1)/(x+2)

=x-8+17/x+2

300

(x³-27)/(x-3)

x²+3x+9

500

(-x⁷ + 4x² + 9x + 2) / (x + 2)

-x⁶ + 2x⁵ - 4x⁴ + 8x³ - 16x² + 36x - 63 + 128/x  + 2

Binomial Expansion

100

(a+b)¹

1a+1b

200

(x+3)²

=x²+6x+9

300

(3x+4)⁴

x⁴+12x³+54x²+108x+81

500

(x² + 4y)⁵

x¹⁰ + 20x⁸y + 160x⁶y² + 640x⁴y³ + 1,280x²y⁴ + 1,024y⁵