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4 votes
Can you help me to solve this​

Can you help me to solve this​-example-1

2 Answers

4 votes
Answer: 4a-2/2a+1
Explanation: first factor out the expression. Second cancel out
Can you help me to solve this​-example-1
User Codigomonstruo
by
8.1k points
7 votes

Answer:


(4a-2)/(2a+1)

Explanation:

Factorise the numerator and denominator

8a² - 2 ← factor out 2 from each term

= 2(4a² - 1) ← 4a² - 1 is a difference of squares

= 2(2a - 1)(2a + 1)

4a² + 4a + 1 ← is a perfect square

= (2a + 1)²

Thus


(8a^2-2)/(4a^2+4a+1)

=
(2(2a-1)(2a+1))/((2a+1)(2a+1)) ← cancel (2a + 1) on numerator/ denominator

=
(2(2a-1))/(2a+1)

=
(4a-2)/(2a+1)

User Haatschii
by
8.5k points

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