Answer:
11. (x - 3) (x²+3x+9)
12.3xy²(2x+y-1)
13.(x+y)(x-y)
14.(could not simplify further)
15.(x-5y)²
16.(2x+3)²
17.(x+2)(2x-5)
18. (I don't know how to solve sorry)
19.(2x+3)(2x-3)
20.(could not simplify further)
Step-by-step explanation:
11. = x³ - 27
= x³-3³
= (x - 3) (x²+3x+3²)
= (x - 3) (x²+3x+9)
12.= 6x²y²+3xy³-3xy²
= 6xy²+3xy²y-3xy²
= 3xy²+3xy²y-3xy²
= 3xy²(2x+y-1)
13.= x²-y²
= (x+y)(x-y)
14. (could not simplify further)
15.= x²-10xy+25y²
= 25y²=(5y)²
= -10xy=2x • 5y
= x²-2x • 5y +(5y)²
= (x-5y)²
16.= 4x²+12x+9
= 4x²=(2x)²
= 9=3²
= 12x=2•2x•3
= (2x)²+2•2x•3+3²
= (2x+3)²
17. = 2x²-x-10
= (2x²+4x)+(-5x-10)
Factor out 2x from 2x²+4x: 2x(x+2)
factor out -5 from -5-10: -5(x+2)
= 2x(x+2)-5(x+5)
= (x+2)(2x-5)
18. I don't know how to solve sorry
19. = 4x²-9
= (2x)² - 3²
= (2x+3)(2x-3)
20. (could not simplify further)
