Question

Jack decides to grow and sell bean plants. Let P represent the number of plants he will grow and sell. After considering his expenses, the expression -3p(p-10)-6p(p-10) represents his profit.

a. Rewrite and simplify the profit expression by factoring out the greatest common factor.

b. Rewrite the expression in simplest form with no parentheses.​

Answer 1

b.
`\displaystyle 90 - 9p^2`

a.
`\displaystyle -9[-10 + p^2]`

Step-by-step Step-by-step explanation:

b.
`\displaystyle 90 - 9p^2 = -3p^2 + 30 - 6p^2 + 60 = -3p(p - 10) - 6p(p - 10)`

a.
`\displaystyle -9[-10 + p^2] = 90 - 9p^2`

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