Question

Find the product of 2r^2(6r^3+14r^2-30r+14)

Answer 1

Answer: 2r2(6r3+14r2−30r+14)

Explanation:

Apply the distributive property

2r2(6r3)+2r2(14r2)+2r2(−30r)+2r2⋅14

Simplify

2⋅6(r2r3)+2⋅14(r2r2)+2⋅−30(r2r)+28r2

Simplify each term

12r5+28r4−60r3+28r2

Answer 2

12
`r^(5)` + 28
`r^(4)` - 60 r³ + 28 r²

Explanation:

a(b ± c) = ab ± ac (distributive property)

`a^(m) * a^(n) = a^(m+n)`

2r²(6r³ + 14r² - 30r + 14) = 12
`r^(5)` + 28
`r^(4)` - 60 r³ + 28 r²