Question

find the product of x(y+9x)(y^2-9xy+81x^2)​

Answer 1

Step-by-step explanation:

STEP

1

:

y2

Simplify ——

x2

Equation at the end of step

1

:

(y3) y2

((((—————•(x2))+9xy)+(6x•——))+xy)+y2

3 3 x2

STEP

2

:

Equation at the end of step

2

:

(y3) 6y2

((((—————•x2)+9xy)+———)+xy)+y2

3 3 x

STEP

3

:

y3

Simplify ——

3

Equation at the end of step

3

:

y3 6y2

((((———•x2)+9xy)+———)+xy)+y2

3 3 x

STEP

4

:

Equation at the end of step 4

x2y3 6y2

((((—————•x2)+9xy)+———)+xy)+y2

3 3 x

STEP

5

:

Rewriting the whole as an Equivalent Fraction :

Answer 2

Answer:

x(y+9x)(y²-9xy+81x²)

(xy+9x²)(y²-9xy+81x²)

=xy³-9x²y²+81x³y+9x²y²-81x³y+729x³

=729x³+xy³