Question

Which expression is eqivalent to (x^2-3x)(4x^2+2x-9)

Answer 1

For this case we must find an expression equivalent to:

`(x ^ 2-3x) (4x ^ 2 + 2x-9) =`

We apply distributive property, term by term, taking into account that:
`- * + = -\\- * - = +\\x ^ 2 * 4x ^ 2 + x ^ 2 * 2x-x ^ 2 * 9-3x * 4x ^ 2-3x * 2x + 3x * 9 =`

By definition we have to, to multiply powers of the same base, the same base is placed and the exponents are added:

`4x ^ 4 + 2x ^ 3-9x ^ 2-12x ^ 3-6x ^ 2 + 27x =`

We add similar terms taking into account that:

Equal signs are added and the same sign is placed.

Different signs are subtracted and the major sign is placed.

`4x ^ 4-10x ^ 3-15x ^ 2 + 27x`

Answer:

An equivalent expression is:
`4x ^ 4-10x ^ 3-15x ^ 2 + 27x`