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16. find the product: (x - 10)(x - 9) (x - 10)(x - 9) = enter your next…

Question

  1. find the product: (x - 10)(x - 9) (x - 10)(x - 9) = enter your next step here

Explanation:

Step1: Use FOIL method

$(x - 10)(x - 9)=x\times x+x\times(-9)+(-10)\times x+(-10)\times(-9)$

Step2: Simplify each term

$x\times x=x^{2}$, $x\times(-9)=-9x$, $(-10)\times x=-10x$, $(-10)\times(-9) = 90$

Step3: Combine like - terms

$x^{2}-9x-10x + 90=x^{2}-19x + 90$

Answer:

$x^{2}-19x + 90$