What is the answer to (A+B) X (A-B) =?

 Q. What is the answer to (A+B) X (A-B) =?👇👇👇

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The expression $(𝐴+𝐵)\times (𝐴-𝐵)$ can be simplified using the difference of squares formula. The difference of squares formula states:

$$<span\; style="font-size:\; x-large;">(</span>\mathrm{<span\; style="font-size:\; x-large;">𝑎</span>}<span\; style="font-size:\; x-large;">+</span>\mathrm{<span\; style="font-size:\; x-large;">𝑏</span>}<span\; style="font-size:\; x-large;">)</span><span\; style="font-size:\; x-large;">(</span>\mathrm{<span\; style="font-size:\; x-large;">𝑎</span>}<span\; style="font-size:\; x-large;">-</span>\mathrm{<span\; style="font-size:\; x-large;">𝑏</span>}<span\; style="font-size:\; x-large;">)</span><span\; style="font-size:\; x-large;">=</span>{\mathrm{<span\; style="font-size:\; x-large;">𝑎</span>}}^{\mathrm{<span\; style="font-size:\; x-large;">2</span>}}<span\; style="font-size:\; x-large;">-</span>{\mathrm{<span\; style="font-size:\; x-large;">𝑏</span>}}^{\mathrm{<span\; style="font-size:\; x-large;">2</span>}}$$

Applying this to $(𝐴+𝐵)(𝐴-𝐵)$:

$$<span\; style="font-size:\; x-large;">(</span>\mathrm{<span\; style="font-size:\; x-large;">𝐴</span>}<span\; style="font-size:\; x-large;">+</span>\mathrm{<span\; style="font-size:\; x-large;">𝐵</span>}<span\; style="font-size:\; x-large;">)</span><span\; style="font-size:\; x-large;">(</span>\mathrm{<span\; style="font-size:\; x-large;">𝐴</span>}<span\; style="font-size:\; x-large;">-</span>\mathrm{<span\; style="font-size:\; x-large;">𝐵</span>}<span\; style="font-size:\; x-large;">)</span><span\; style="font-size:\; x-large;">=</span>{\mathrm{<span\; style="font-size:\; x-large;">𝐴</span>}}^{\mathrm{<span\; style="font-size:\; x-large;">2</span>}}<span\; style="font-size:\; x-large;">-</span>{\mathrm{<span\; style="font-size:\; x-large;">𝐵</span>}}^{\mathrm{<span\; style="font-size:\; x-large;">2</span>}}$$

So, the simplified form of $(𝐴+𝐵)\times (𝐴-𝐵)$ is:

$${\mathrm{<span\; style="font-size:\; x-large;">𝐴</span>}}^{\mathrm{<span\; style="font-size:\; x-large;">2</span>}}<span\; style="font-size:\; x-large;">-</span>{\mathrm{<span\; style="font-size:\; x-large;">𝐵</span>}}^{\mathrm{<span\; style="font-size:\; x-large;">2</span>}}$$

Thus, the answer to $(𝐴+𝐵)\times (𝐴-𝐵)$ is ${𝐴}^2-{𝐵}^2$.