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navik [9.2K]
3 years ago
12

What is the value of p?

Mathematics
1 answer:
Akimi4 [234]3 years ago
5 0

Answer:

B. 50

Step-by-step explanation:

140 - 90 = 50

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Find the sum.<br> 5<br> 2a<br> a? + 2a + 1<br> +<br> a2 + 4a + 3
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\frac{2a}{a^2+2a+1}+\frac{5}{a^2+4a+3}

Factor the denominators.

\frac{2a}{\left(a+1\right)^2}+\frac{5}{\left(a+1\right)\left(a+3\right)}

Adjust fractions based on LCM.

\frac{2a\left(a+3\right)}{\left(a+1\right)^2\left(a+3\right)}+\frac{5\left(a+1\right)}{\left(a+1\right)^2\left(a+3\right)}

Denominators are same, so add the fractions.

\frac{2a\left(a+3\right)+5\left(a+1\right)}{\left(a+1\right)^2\left(a+3\right)}

Expand the numerator.

\frac{2a^2+11a+5}{\left(a+1\right)^2\left(a+3\right)}

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