Answer:
35
Step-by-step explanation:
if X+Y=5&XY=6 we can guess the numbers easly the numbers are 2&3.
so X^3+Y^3=(2)^3+(3)^3
=2*2*2+3*3*3
=8+27
=35
i hope it helps you
Answer:
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)
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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
