Question

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

Answer 1

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Reminder :

$(x + a)(x + b) = {x}^{2} + (a + b)x + (a \times b)$

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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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Answer 2

Answer:

v² - 6su²v - 7s²$u^{4}$

Step-by-step 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$u^{4}$