Evaluate
5\left(x-9\right)^{2}
Expand
5x^{2}-90x+405
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5\left(x-9\right)^{2}
Multiply x-9 and x-9 to get \left(x-9\right)^{2}.
5\left(x^{2}-18x+81\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-9\right)^{2}.
5x^{2}-90x+405
Use the distributive property to multiply 5 by x^{2}-18x+81.
5\left(x-9\right)^{2}
Multiply x-9 and x-9 to get \left(x-9\right)^{2}.
5\left(x^{2}-18x+81\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-9\right)^{2}.
5x^{2}-90x+405
Use the distributive property to multiply 5 by x^{2}-18x+81.
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