Question

Find the volume of cuboid whose length, breadth and height are 2xy2, 8y , 3x respectively.

Answer 1

Answer:

2y • (3x3 + 6x2 - 2xy2 - 4y2)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

((((6•(x3))•y)-(4x•(y3)))+(12y•(x2)))-23y3

STEP

2

:

Equation at the end of step

2

:

((((6•(x3))•y)-(4x•(y3)))+(22•3x2y))-23y3

STEP

3

:

Equation at the end of step

3

:

((((6•(x3))•y)-22xy3)+(22•3x2y))-23y3

STEP

4

:

Equation at the end of step

4

:

((((2•3x3) • y) - 22xy3) + (22•3x2y)) - 23y3

STEP

5

:

STEP

6

:

Pulling out like terms

6.1 Pull out like factors :

6x3y + 12x2y - 4xy3 - 8y3 =

2y • (3x3 + 6x2 - 2xy2 - 4y2)

Checking for a perfect cube :

6.2 3x3 + 6x2 - 2xy2 - 4y2 is not a perfect cube

Final result :

2y • (3x3 + 6x2 - 2xy2 - 4y2)