13×2+710⋅(xy)-13y2x-25y

Combine 13 and x2.

x23+710⋅(xy)-13y2x-25y

Multiply 710(xy).

Combine x and 710.

x23+x⋅710y-13y2x-25y

Combine x⋅710 and y.

x23+x⋅7y10-13y2x-25y

x23+x⋅7y10-13y2x-25y

Move 7 to the left of x.

x23+7⋅xy10-13y2x-25y

Combine y2 and 13.

x23+7xy10-y23x-25y

To write x23 as a fraction with a common denominator, multiply by 1010.

x23⋅1010+7xy10-y23x-25y

To write 7xy10 as a fraction with a common denominator, multiply by 33.

x23⋅1010+7xy10⋅33-y23x-25y

Write each expression with a common denominator of 30, by multiplying each by an appropriate factor of 1.

Multiply x23 and 1010.

x2⋅103⋅10+7xy10⋅33-y23x-25y

Multiply 3 by 10.

x2⋅1030+7xy10⋅33-y23x-25y

Multiply 7xy10 and 33.

x2⋅1030+7xy⋅310⋅3-y23x-25y

Multiply 10 by 3.

x2⋅1030+7xy⋅330-y23x-25y

x2⋅1030+7xy⋅330-y23x-25y

Combine the numerators over the common denominator.

x2⋅10+7xy⋅330-y23x-25y

To write -y23 as a fraction with a common denominator, multiply by 1010.

x2⋅10+7xy⋅330-y23⋅1010x-25y

Write each expression with a common denominator of 30, by multiplying each by an appropriate factor of 1.

Multiply y23 and 1010.

x2⋅10+7xy⋅330-y2⋅103⋅10x-25y

Multiply 3 by 10.

x2⋅10+7xy⋅330-y2⋅1030x-25y

x2⋅10+7xy⋅330-y2⋅1030x-25y

Combine the numerators over the common denominator.

x2⋅10+7xy⋅3-y2⋅1030x-25y

Rewrite x2⋅10+7xy⋅3-y2⋅1030 in a factored form.

Move 10 to the left of x2.

10⋅x2+7xy⋅3-y2⋅1030x-25y

Multiply 3 by 7.

10×2+21xy-y2⋅1030x-25y

Multiply 10 by -1.

10×2+21xy-10y230x-25y

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=10⋅-10=-100 and whose sum is b=21.

Reorder terms.

10×2-10y2+21xy30x-25y

Reorder -10y2 and 21xy.

10×2+21xy-10y230x-25y

Factor 21 out of 21xy.

10×2+21(xy)-10y230x-25y

Rewrite 21 as -4 plus 25

10×2+(-4+25)(xy)-10y230x-25y

Apply the distributive property.

10×2-4(xy)+25(xy)-10y230x-25y

Move parentheses.

10×2-4xy+25xy-10y230x-25y

10×2-4xy+25xy-10y230x-25y

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

(10×2-4xy)+25xy-10y230x-25y

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

2x(5x-2y)+5y(5x-2y)30x-25y

2x(5x-2y)+5y(5x-2y)30x-25y

Factor the polynomial by factoring out the greatest common factor, 5x-2y.

(5x-2y)(2x+5y)30x-25y

(5x-2y)(2x+5y)30x-25y

(5x-2y)(2x+5y)30x-25y

(5x-2y)(2x+5y)30x-25y

Combine y and 25.

(5x-2y)(2x+5y)30x-y⋅25

Move 2 to the left of y.

(5x-2y)(2x+5y)30x-2⋅y5

To write x as a fraction with a common denominator, multiply by 55.

(5x-2y)(2x+5y)30x⋅55-2y5

Combine x and 55.

(5x-2y)(2x+5y)30x⋅55-2y5

Combine the numerators over the common denominator.

(5x-2y)(2x+5y)30x⋅5-2y5

Move 5 to the left of x.

(5x-2y)(2x+5y)305x-2y5

(5x-2y)(2x+5y)305x-2y5

Multiply the numerator by the reciprocal of the denominator.

(5x-2y)(2x+5y)30⋅55x-2y

Cancel the common factor.

(5x-2y)(2x+5y)30⋅55x-2y

Rewrite the expression.

2x+5y30⋅5

2x+5y30⋅5

Factor 5 out of 30.

2x+5y5(6)⋅5

Cancel the common factor.

2x+5y5⋅6⋅5

Rewrite the expression.

2x+5y6

2x+5y6

Split the fraction 2x+5y6 into two fractions.

2×6+5y6

Factor 2 out of 2x.

2(x)6+5y6

Cancel the common factors.

Factor 2 out of 6.

2×2⋅3+5y6

Cancel the common factor.

2×2⋅3+5y6

Rewrite the expression.

x3+5y6

x3+5y6

x3+5y6

Divide (1/3x^2+7/10*(xy)-1/3y^2)/(x-2/5y)