If X + Y equal to 5 and x y equal to 6 find the value of x cube + y cube how

x³ + y³ = 35

Step-by-step explanation:

Using the following identities

(x + y)² = x² + 2xy + y² , then

5² = x² + y² + 2(6)

25 = x² + y² + 12 ( subtract 12 from both sides )

13 = x² + y² → (1)

x³ + y³ ← is a sum of cubes and factors as

x³ + y³ = (x + y)(x² - xy + y² )

           = 5(x² + y² - 6) ← substitute (1)

           = 5(13 - 6) = 5 × 7 = 35

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

lo.lll

step-by-step explanation: