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Expand.
Your answer should be a polynomial in standard form.

(x-4)(x-6)=

Expand.\newlineYour answer should be a polynomial in standard form.\newline(x4)(x6)=(x-4)(x-6)=

Full solution

Q. Expand.\newlineYour answer should be a polynomial in standard form.\newline(x4)(x6)=(x-4)(x-6)=
  1. Performing the multiplication: Now, we will simplify the expression by performing the multiplication.\newlinex(x)=x2x(x) = x^2\newlinex(6)=6xx(-6) = -6x\newline(4)(x)=4x(-4)(x) = -4x\newline(4)(6)=24(-4)(-6) = 24\newlineSo, the expression becomes:\newlinex26x4x+24x^2 - 6x - 4x + 24
  2. Combining like terms: Next, we will combine like terms, which are the terms with the same variable raised to the same power.\newline6x-6x and 4x-4x are like terms.\newlinex26x4x+24=x2(6x+4x)+24x^2 - 6x - 4x + 24 = x^2 - (6x + 4x) + 24\newline=x210x+24= x^2 - 10x + 24

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