16×5-56×4+24x38x4

Factor 8×3 out of 16×5-56×4+24×3.

Factor 8×3 out of 16×5.

8×3(2×2)-56×4+24x38x4

Factor 8×3 out of -56×4.

8×3(2×2)+8×3(-7x)+24x38x4

Factor 8×3 out of 24×3.

8×3(2×2)+8×3(-7x)+8×3(3)8×4

Factor 8×3 out of 8×3(2×2)+8×3(-7x).

8×3(2×2-7x)+8×3(3)8×4

Factor 8×3 out of 8×3(2×2-7x)+8×3(3).

8×3(2×2-7x+3)8×4

8×3(2×2-7x+3)8×4

Factor by grouping.

For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=2⋅3=6 and whose sum is b=-7.

Factor -7 out of -7x.

8×3(2×2-7(x)+3)8×4

Rewrite -7 as -1 plus -6

8×3(2×2+(-1-6)x+3)8×4

Apply the distributive property.

8×3(2×2-1x-6x+3)8×4

8×3(2×2-1x-6x+3)8×4

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

8×3((2×2-1x)-6x+3)8×4

Factor out the greatest common factor (GCF) from each group.

8×3(x(2x-1)-3(2x-1))8×4

8×3(x(2x-1)-3(2x-1))8×4

Factor the polynomial by factoring out the greatest common factor, 2x-1.

8×3((2x-1)(x-3))8×4

8×3(2x-1)(x-3)8×4

8×3(2x-1)(x-3)8×4

Cancel the common factor.

8×3(2x-1)(x-3)8×4

Rewrite the expression.

(x3(2x-1))(x-3)x4

(x3(2x-1))(x-3)x4

Factor x3 out of (x3(2x-1))(x-3).

x3((2x-1)(x-3))x4

Cancel the common factors.

Factor x3 out of x4.

x3((2x-1)(x-3))x3x

Cancel the common factor.

x3((2x-1)(x-3))x3x

Rewrite the expression.

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

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

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

Apply the distributive property.

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

Apply the distributive property.

2x⋅x+2x⋅-3-1(x-3)x

Apply the distributive property.

2x⋅x+2x⋅-3-1x-1⋅-3x

2x⋅x+2x⋅-3-1x-1⋅-3x

Simplify each term.

Multiply x by x by adding the exponents.

Move x.

2(x⋅x)+2x⋅-3-1x-1⋅-3x

Multiply x by x.

2×2+2x⋅-3-1x-1⋅-3x

2×2+2x⋅-3-1x-1⋅-3x

Multiply -3 by 2.

2×2-6x-1x-1⋅-3x

Rewrite -1x as -x.

2×2-6x-x-1⋅-3x

Multiply -1 by -3.

2×2-6x-x+3x

2×2-6x-x+3x

Subtract x from -6x.

2×2-7x+3x

2×2-7x+3x

Split the fraction 2×2-7x+3x into two fractions.

2×2-7xx+3x

Split the fraction 2×2-7xx into two fractions.

2x2x+-7xx+3x

Factor x out of 2×2.

x(2x)x+-7xx+3x

Cancel the common factors.

Raise x to the power of 1.

x(2x)x1+-7xx+3x

Factor x out of x1.

x(2x)x⋅1+-7xx+3x

Cancel the common factor.

x(2x)x⋅1+-7xx+3x

Rewrite the expression.

2×1+-7xx+3x

Divide 2x by 1.

2x+-7xx+3x

2x+-7xx+3x

2x+-7xx+3x

Cancel the common factor.

2x+-7xx+3x

Divide -7 by 1.

2x-7+3x

2x-7+3x

Divide (16x^5-56x^4+24x^3)/(8x^4)