Question

If x+2y=8 and xy =8 find the value of x^3+8y^3

Answer 1

The answer is in photograph

Answer 2

Answer:

128

Step-by-step explanation:

Given:

x+2y=8

xy=8

To find:

$x^{3} +8y^{3}$

Solution:

A single integer, a variable, or a combination of the two can be used. An operation is used to separate each expression. For instance, "7n" and "2" are two separate phrases in the image above.

Factors are frequently a combination of numbers or variables and numbers. For instance, the elements 7 and n make up the number 7n.

As variables, letters like x, y, n, etc. are used. 'n' is the variable in the equation, as you can see if you look closely at the image above.

Let x+2y=8 ______(1)

xy=8 ______(2)

Equation 1 can be converted as

x=8-2y ______(3)

substituting equation (3) in equation (2)

(8-2y)(y)=8

$8y-2y^{2} =8\\2y^{2} -8y+8=0\\y^{2}-4y+4=0\\y=2$

Now substituting the value of y in equation 2

$x(2)=8\\x=\frac{8}{2} \\x=4$

Substituting the value of x and y in $x^{3} +8y^{3}$

$x^{3} +8y^{3}\\4^{3} +(8)(8)$

64+64=128

Write the algebraic expression for:

5 more than y

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