Question

Select the quadratic expression that represents the product below.

(2x+5) (7-4x)

Answer 1

a on plato or -8x^2-6x+35

Answer 2

`-8x^2-6x+35`

Explanation:

Given that:

`(2x+5)(7-4x)`

Multiply the first term of the first expression with second expression and second term of the first expression with second expression.

we have;

`2x(7-4x)+5(7-4x)`

Using distributive property,
`a \cdot (b+c) = a\cdot b+ a\cdot c`

`14x-8x^2+35-20x`

Combine like terms;

`-8x^2-6x+35`

therefore, quadratic expression that represents the product
`(2x+5)(7-4x)` is,
`-8x^2-6x+35`