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mestny [16]
3 years ago
12

Which expression is equivalent to

Mathematics
1 answer:
Damm [24]3 years ago
4 0

Answer:

\frac{(2a+1)^{2} }{50a}

Step-by-step explanation:

\frac{2a+1}{10a-5} * \frac{4a^{2} - 1}{10a}\\ = \frac{2a+1}{5(2a-1)} * \frac{(2a+1)(2a-1)}{10a}\\=\frac{(2a+1)^{2} }{50a}

1.The expression given is in division so when changing to multiplication the fraction is reversed.

2.Using algebra identity a^{2}  - b^{2}  = (a+b)(a-b).

3. Taking the common factor 5 out.

4. Finally cancelling the like terms from the numerator and denominator.

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