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Factoring
100

(2x³-5x²+x)+(2x²+x³-1)

(2x³-5x²+x)+(2x²+x³-1) 3x³-3x²+x-1

100
2x³(x³+3x²-2x+5)
2x⁶+6x⁵-4x⁴+10x³
100

Factor x²+24x+63

(x+3)(x+21)

100
Factor 12x+42y
6(2x+7y)
100
x²+11x+18
(x+9)(x+2)
200
(3x²+x-6)+(x²+4x+10)
4x²+5x+4
200
(x+3)(2x+1)
2x²+7x+3
200
Factor x²+6x+9
(x+3)²
200

Solve: n(n-5)=0

n=0 or 5

200
x²+3x-18
(x+6)(x-3)
300
(4n²+5)-(-2n²+2n-4)
6n²-2n+9
300
(x-4)(3x+2)
3x²-10x-8
300
Factor 16x²-8xy+y²
(4x-1y)²
300

Factor 2x²+8x

2x(x+4)

300

n²-6n+8

(n-4)(n-2)

400
(4x²-7x)-(5x²+4x-9)
-x²-11x+9
400
(4n-1)(n+5)
4n²+19n-5
400
Expand (5x-2y)²
25x²-20xy+4y²
400

Find the zeros

y=(x-4)(x+2) 

x=4 or x=-2

400

x²+2x-15

(x-3)(x+5)

500
(5x³+4x-2x)+(4x²+3x³-6)
8x³+4x²+2x-6
500

(4n-1)(3n2+5)

12n3-3n2+20n-5

500
Factor 300x²-3
3(10x+1)(10x-1)
500

Find the zeros:

y=(x-5)(x-1)

x=5 or x=1

500

x²+29x+100

(x+25)(x+4)