Question

Express the following in simplest form.

Answer 1

Answer:

1) 3/2

2) 2x^2/5

3) 3

4) -1/4x+1

5) m^2-9

6) a

Step-by-step explanation:

For Explanation, Refer to the Attachment.

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Answer 2

Solution :-

Writing in simplest form we get,

1)

→ (24/16)

→ (3 * 8)/(2 * 8)

→ (3/2)

2)

→ 2x³/5x

→ (2x² * x)/5x

→ (2x²/5)

3)

→ (3m + 6)/(m + 2)

→ 3(m + 2)/(m + 2)

→ 3

4)

→ (4x² - 1)/(4x² + 4x + 1)

→ {(2x)² - (1)²} / {(2x)² + 2 * 2x * 1 + (1)²}

using (a² - b²) = (a + b)(a - b) in numerator and (a² + 2ab + b²) = (a + b)² in denominator,

→ [(2x + 1)(2x - 1)] / (2x + 1)²

→ (2x - 1)/(2x + 1)

5)

→ (a³ - 1)/(a² - 1)

→ (a³ - 1³)/(a² - 1²)

→ {(a - 1)(a² + a + 1)} / {(a + 1)(a - 1)}

→ (a² + a + 1)/(a + 1)

Learn more :-

solution of x minus Y is equal to 1 and 2 X + Y is equal to 8 by cross multiplication method

https://brainly.in/question/18828734