49×4-7×3+21×2-7x

Factor 7×2 out of 49×4.

7×2(7×2)-7×3+21×2-7x

Factor 7×2 out of -7×3.

7×2(7×2)+7×2(-x)+21×2-7x

Factor 7×2 out of 21×2.

7×2(7×2)+7×2(-x)+7×2(3)-7x

Factor 7×2 out of 7×2(7×2)+7×2(-x).

7×2(7×2-x)+7×2(3)-7x

Factor 7×2 out of 7×2(7×2-x)+7×2(3).

7×2(7×2-x+3)-7x

7×2(7×2-x+3)-7x

Factor 7 out of 7×2(7×2-x+3).

7(x2(7×2-x+3))-7x

Cancel the common factors.

Factor 7 out of -7x.

7(x2(7×2-x+3))7(-x)

Cancel the common factor.

7(x2(7×2-x+3))7(-x)

Rewrite the expression.

x2(7×2-x+3)-x

x2(7×2-x+3)-x

x2(7×2-x+3)-x

Factor x out of x2(7×2-x+3).

x(x(7×2-x+3))-x

Move the negative one from the denominator of x(7×2-x+3)-1.

-1⋅(x(7×2-x+3))

-1⋅(x(7×2-x+3))

Rewrite -1⋅(x(7×2-x+3)) as -(x(7×2-x+3)).

-(x(7×2-x+3))

Apply the distributive property.

-(x(7×2)+x(-x)+x⋅3)

Rewrite using the commutative property of multiplication.

-(7x⋅x2+x(-x)+x⋅3)

Rewrite using the commutative property of multiplication.

-(7x⋅x2-x⋅x+x⋅3)

Move 3 to the left of x.

-(7x⋅x2-x⋅x+3⋅x)

-(7x⋅x2-x⋅x+3⋅x)

Multiply x by x2 by adding the exponents.

Move x2.

-(7(x2x)-x⋅x+3⋅x)

Multiply x2 by x.

Raise x to the power of 1.

-(7(x2x1)-x⋅x+3⋅x)

Use the power rule aman=am+n to combine exponents.

-(7×2+1-x⋅x+3⋅x)

-(7×2+1-x⋅x+3⋅x)

Add 2 and 1.

-(7×3-x⋅x+3⋅x)

-(7×3-x⋅x+3⋅x)

Multiply x by x by adding the exponents.

Move x.

-(7×3-(x⋅x)+3⋅x)

Multiply x by x.

-(7×3-x2+3⋅x)

-(7×3-x2+3x)

-(7×3-x2+3x)

Apply the distributive property.

-(7×3)–x2-(3x)

Multiply 7 by -1.

-7×3–x2-(3x)

Multiply –x2.

Multiply -1 by -1.

-7×3+1×2-(3x)

Multiply x2 by 1.

-7×3+x2-(3x)

-7×3+x2-(3x)

Multiply 3 by -1.

-7×3+x2-3x

-7×3+x2-3x

Divide (49x^4-7x^3+21x^2)/(-7x)