How do you multiply (x + -1y)(x + y)?
2 Answers
Explanation:
It is the case that
We also have
The shortcut is to know that if you have the form
That is the condition in this question so
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Consider:
Multiply everything inside the right hand side bracket by everything inside the left hand side bracket.
Notice that the minus follow the
So we have:
Explanation:
Each term in the 2nd bracket must be multiplied by each term in the 1st bracket.
That is
(color(red)(x-y))(x+y)=color(red)(x)(x+y)color(red)(-y)(x+y) now distribute the brackets
=x^2+cancel(xy)-cancel(xy)-y^2=x^2-y^2