Question

If x + y = 4 and x2 − y2 = 64, what is the value of (x − y)?

Answer 1

The value of (x-y) is 16

Further explanation:

We have to use the given values to find the value

Given

$x+y=4\\and\\x^2-y^2=64$

We will use:

$x^2-y^2=64$

Simplifying by using: $x^2-y^2=(x+y)(x-y)$

So,

$(x+y)(x-y)=64$

As we know that x+y=4

Putting the value in equation

$(4)(x-y)=64$

Dividing both sides by 4

$\frac{4(x-y)}{4}=\frac{64}{4}\\x-y=16$

The value of (x-y) is 16

Keywords: Algebraic formulas, Simplification

Learn more about algebraic expressions at:

• brainly.com/question/10879401
• brainly.com/question/10940255

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