Video: Expanding a Perfect Square

Expand (𝑚 + 4)².

01:17

Video Transcript

Expand 𝑚 plus four all squared.

Squaring a term means multiplying it by itself. In this case, we need to multiply 𝑚 plus four by 𝑚 plus four. In order to expand these parentheses or brackets, we are going to use the FOIL method. FOIL stands for the First, the Outside, the Inside, and the Last terms in the parentheses.

Multiplying the first terms 𝑚 multiplied by 𝑚 gives us 𝑚 squared. Multiplying the outside terms 𝑚 multiplied by positive four is positive four 𝑚. Thirdly, multiplying the inside terms positive four multiplied by 𝑚 also gives us four 𝑚. And finally, multiplying the last terms positive four multiplied by positive four is positive 16.

We can then group the like terms, giving us an answer of 𝑚 squared plus eight 𝑚 plus 16. This means that the expansion of 𝑚 plus four all squared is 𝑚 squared plus eight 𝑚 plus 16.

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