Question

Simplify the expression: (12x2y3)(2x3y)2

A) 288x12y6
B) 48x8y5
C) 288x8y3
D) 48x12y2
E) 288x12y4

Answer 1

The simplified expression for
`(`
`12`
`x^(2)`
`y^(3)`
`)\\`
`(2x^(3)y) ^(2)` is
`48x^(8) y^(5)`.

Explanation:

• Given equation is:
  `(`
  `12`
  `x^(2)`
  `y^(3)`
  `)\\`
  `(2x^(3)y) ^(2)`

=
`(`
`12`
`x^(2)`
`y^(3)`
`)\\` (
`4x^(6)y^(2)`) (squaring the terms inside bracket)

=
`12*4* x^(6+2)*y^(3+2)` (adding power of the same variables)

=
`48*x^(8)*y^(5)`

• Hence on simplification we get
  `48x^(8) y^(5)`.