answersLogoWhite

0

x^(2) - 4y^(2)

Before calculating , we note

#1 ' There is a negative sign between the two squares. So it will factor

#2 ' '4' is the square of '2' . So we can redraw the terms as ( 2y)^2

Hence

x^(2) - (2y)^2)

This now satisfies the two conditions above. . So it will factor to

( x - 2y)(x + 2y)

Note the different signs in each bracket .

You hve asked for it to be solved!!! To solve you need to equate the terms to a value. In this case use '0'

Hence

(x - 2y)(x + 2y) = 0

Taking each bracket in turn

x - 2y = 0

x = 2y or 2 = x/y or y = x/2

Then

x + 2y = 0

x = -2y or -2/x/y or y = x/-2

Are the possible forms of solution.

NB If you have two squared terms and a positive (+) between them, then it does NOT factor.

NNB Think of the Pythagorean Equation

a^2 + b^2 = h^2 This DOES NOT factor.

However

a^2 = h^2 - b^2 (Algebraic rearrangement) , DOES factor to

a^2 = (h - b)(h + b)

User Avatar

lenpollock

Lvl 16
1y ago

Still curious? Ask our experts.

Chat with our AI personalities

DevinDevin
I've poured enough drinks to know that people don't always want advice—they just want to talk.
Chat with Devin
ViviVivi
Your ride-or-die bestie who's seen you through every high and low.
Chat with Vivi
RossRoss
Every question is just a happy little opportunity.
Chat with Ross
More answers

It is not clear what you want to solve for.

User Avatar

Wiki User

13y ago
User Avatar

Add your answer:

Earn +20 pts
Q: How do you solve x squared minus 4 y squared?
Write your answer...
Submit
Still have questions?
magnify glass
imp