# Video: AQA GCSE Mathematics Higher Tier Pack 2 β’ Paper 3 β’ Question 14

Expand and fully simplify (π₯ β 2π¦)Β².

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### Video Transcript

Expand and fully simplify π₯ minus two π¦ squared.

π₯ minus two π¦ squared equals π₯ minus two π¦ times itself. Weβll distribute the multiplication of π₯ minus two π¦: π₯ times π₯, π₯ times negative two π¦.

And then, weβll do the same thing with our negative two π¦ term: negative two π¦ times π₯ and negative two π¦ times negative two π¦.

π₯ times π₯ equals π₯ squared. π₯ times negative two π¦ equals negative two π₯π¦. Negative two π¦ times π₯ also equals negative two π₯π¦. And finally, negative two π¦ times negative two π¦ equals positive four π¦ squared.

This form is expanded. However, itβs not fully simplified. There are some terms in here that can be combined. Negative two π₯π¦ and negative two π₯π¦ are like terms. They can be combined.

Negative two π₯π¦ minus negative two π₯π¦ equals negative four π₯π¦. Bring down the π₯ squared. Bring down the four π¦ squared.

And our expanded, fully simplified form is π₯ squared minus four π₯π¦ plus four π¦ squared.