# Simplify (3x-3)(8x^2-2x+3)

(3x-3)(8×2-2x+3)
Expand (3x-3)(8×2-2x+3) by multiplying each term in the first expression by each term in the second expression.
3x(8×2)+3x(-2x)+3x⋅3-3(8×2)-3(-2x)-3⋅3
Simplify terms.
Simplify each term.
Rewrite using the commutative property of multiplication.
3⋅8(x⋅x2)+3x(-2x)+3x⋅3-3(8×2)-3(-2x)-3⋅3
Multiply x by x2 by adding the exponents.
Multiply x by x2.
Raise x to the power of 1.
3⋅8(x1x2)+3x(-2x)+3x⋅3-3(8×2)-3(-2x)-3⋅3
Use the power rule aman=am+n to combine exponents.
3⋅8×1+2+3x(-2x)+3x⋅3-3(8×2)-3(-2x)-3⋅3
3⋅8×1+2+3x(-2x)+3x⋅3-3(8×2)-3(-2x)-3⋅3
3⋅8×3+3x(-2x)+3x⋅3-3(8×2)-3(-2x)-3⋅3
3⋅8×3+3x(-2x)+3x⋅3-3(8×2)-3(-2x)-3⋅3
Multiply 3 by 8.
24×3+3x(-2x)+3x⋅3-3(8×2)-3(-2x)-3⋅3
Multiply x by x.
24×3+3⋅-2×2+3x⋅3-3(8×2)-3(-2x)-3⋅3
Multiply 3 by -2.
24×3-6×2+3x⋅3-3(8×2)-3(-2x)-3⋅3
Multiply 3 by 3.
24×3-6×2+9x-3(8×2)-3(-2x)-3⋅3
Multiply 8 by -3.
24×3-6×2+9x-24×2-3(-2x)-3⋅3
Multiply -2 by -3.
24×3-6×2+9x-24×2+6x-3⋅3
Multiply -3 by 3.
24×3-6×2+9x-24×2+6x-9
24×3-6×2+9x-24×2+6x-9