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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Simplify completely quantity x squared plus 12 x plus 35 all over 3 x plus 15.
Solution:
Given, quantity x squared plus 12 x plus 35 all over 3 x plus 15.
The expression can be written as \(\frac{x^{2}+12x+35}{3x+15}\)
Converting the numerator in factored form,
\(x^{2}+12x+35\) = \(x^{2}+7x+5x+35\)
= \(x(x+7)+5(x+7)\)
= \((x+7)(x+7)\)
Rewriting the term in denominator by taking out 3,
3x + 15 = 3(x + 5)
Now, the equation becomes
\(\frac{x^{2}+12x+35}{3x+15}\) = \(\frac{(x+7)(x+5)}{3(x+5)}\)
= \(\frac{(x+7)}{3}\)
Therefore, the simplified form is \(\frac{(x+7)}{3}\)
Simplify completely quantity x squared plus 12 x plus 35 all over 3 x plus 15.
Summary:
The completely simplified form of quantity x squared plus 12 x plus 35 all over 3 x plus 15 is \(\frac{(x+7)}{3}\)
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