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Anna71 [15]
3 years ago
12

Simplify the expression. State any excluded values. x^ 2 - 36/42x - 7x^ 2

Mathematics
1 answer:
REY [17]3 years ago
3 0

Consider the expression x^2-\dfrac{36}{42}x-7x^2.

This expression contains two terms with x^2, group them:

x^2-7x^2=x^2(1-7)=-6x^2.

Now simplify term \dfrac{36}{42}x=\dfrac{6}{7}x.

Now x^2-\dfrac{36}{42}x-7x^2=-6x^2-\dfrac{6}{7}x=6\left(-x^2-\dfrac{1}{7}x\right)=-6x\left(x-\dfrac{1}{7}\right).

This expression is defined for all x.

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