Question

Which expression is equivalent to (x2 – 2x)(3x2 + 4x – 7)?

Answer 1

Equivalent Expression is
`3x^4-2x^3-15x^2+14x`

Explanation:

Given Expression,

`(x^2-2x)(3x^2+4x-7)`

To find: Equivalent expression.

To find: Equivalent expression we find product of given expressions.

Consider,

`(x^2-2x)(3x^2+4x-7)`

`=x^2(3x^2+4x-7)-2x(3x^2+4x-7)`

`=3x^4+4x^3-7x^2-6x^3-8x^2+14x`

`=3x^4+4x^3-6x^3-7x^2-8x^2+14x`

`=3x^4+(4-6)x^3-(7+8)x^2+14x`

`=3x^4-2x^3-15x^2+14x`

Therefore, Equivalent Expression is
`3x^4-2x^3-15x^2+14x`