perform the indicated operations.\n$(x + 9)^2-(x - 9)^2$

Explanation:

Step1: Expand $(x + 9)^2$ using formula $(a + b)^2=a^{2}+2ab + b^{2}$

$(x + 9)^2=x^{2}+18x + 81$

Step2: Expand $(x - 9)^2$ using formula $(a - b)^2=a^{2}-2ab + b^{2}$

$(x - 9)^2=x^{2}-18x + 81$

Step3: Subtract the two expanded expressions

$(x^{2}+18x + 81)-(x^{2}-18x + 81)$ $=x^{2}+18x + 81 - x^{2}+18x - 81$

Step4: Combine like - terms

$(x^{2}-x^{2})+(18x + 18x)+(81 - 81)=36x$

Answer:

$36x$