Question

if b+c=-1 & bc=-6, then b^3+c^3 is equal to

Plzz answer fast

Answer 1

Hey Mate⭐⭐⭐

Here's ur answer ⤵ ⤵ ⤵

♦ b+c= -1 & bc= -6

First we will find the value of b^2+c^2

➡ (b+c)^2= b^2+c^2+2bc

➡ (-1)^2=b^2+c^2+2 (-6)

➡ 1 = b^2+c^2 -12

➡ b^2+c^2 = 13

Now we will find the value of b^3+c^3

We know that a^3+b^3 = (a+b)(a^2+b^2-ab)

➡ b^3+c^3 = (b+c)(b^2+c^2-bc)

➡ b^3+c^3 = (-1)[13-(-6)]

➡ b^3+c^3 = -19

✔✔✔Hope it will help you☺☺☺