Question

Find the product.
(v - 7su^2) (v + su^2)
Enter the correct answer.

Answer 1

v² - 6su²v - 7s²
`u^(4)`

Explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

= v(v + su²) - 7su²(v + su²) ← distribute both parenthesis

= v² + su²v - 7su²v - 7s²
`u^(4)` ← collect like terms

= v² - 6su²v - 7s²
`u^(4)`

Answer 2

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Reminder :

`(x + a)(x + b) = {x}^(2) + (a + b)x + (a * b) \\`

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`{v}^(2) + ( - 7s {u}^(2) + s {u}^(2))v +( ( - 7s {u}^(2))(s {u}^(2) )) = \\`

`{v}^(2) - 6s {u}^(2) v - 7 {s}^(2) {u}^(4) \\`

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