Multiplying the binomials, we have (x - 7)(x - 2) = x² - 9x + 14.
Applying the distribution property of multiplication, the given binomials, (x - 7)(x - 2) can be multiplied as shown below:
(x - 7)(x - 2)
x(x - 2) -7(x - 2)
x² - 2x - 7x + 14
x² - 9x + 14
Therefore, (x - 7)(x - 2) = x² - 9x + 14.
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Answer:
Hence the expression [tex]$(x-7)(x-2)=x^2-9x-14$[/tex]
Step-by-step explanation:
The given expression is (x-7)(x-2).
We have to multiply the given expression.
Multiply the (x-7) by-2, multiply the (x-7) by x then add like terms.
[tex]$\frac{\begin{matrix}{} & {} & x & - & 7 \\ \times & {} & x & - & 2 \\ \end{matrix}}[/tex]
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[tex]{\frac{\begin{matrix}{} & - & 2x & - & 14 \\ {{x}^2} & - & 7x & {} & {} \\ \end{matrix}}{\begin{matrix}{{x}^2} & - & 9x & - & 14 \\ \end{matrix}}}$[/tex]
