Question

2x^2(4x-7xy+5) (3y-2)

Answer 1

Expanding the expression
`\(2x^2(4x - 7xy + 5)(3y - 2)\)` results in
`\(24x^3y - 16x^3 - 42x^2y^2 + 8x^2y + 10x^2\)`, showcasing the step-by-step multiplication of each term and subsequent simplification of like terms.

Let's expand the expression step by step:

`\[2x^2(4x - 7xy + 5)(3y - 2)\]`

1. Multiply
`\(2x^2\)` by each term inside the first parenthesis:

`\[8x^3 - 14x^2y + 10x^2\]`

2. Distribute the result to each term inside the second parenthesis:

`\[ (8x^3 - 14x^2y + 10x^2)(3y - 2)\]`

3. Multiply each term in the first expression by each term in the second expression:

`\[24x^3y - 16x^3 - 42x^2y^2 + 28x^2y + 30x^2 - 20x^2\]`

4. Combine like terms:

`\[24x^3y - 16x^3 - 42x^2y^2 + 8x^2y + 10x^2\]`

So,
`\(2x^2(4x - 7xy + 5)(3y - 2)\)` expands to
`\(24x^3y - 16x^3 - 42x^2y^2 + 8x^2y + 10x^2\)`.

The complete question is:

Expland the given equation and write the result:
2x^2(4x-7xy+5) (3y-2)