Question

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Answer 1

$\huge \star \underline \pink{answer}$

5) (3z-2)²

= (3z)²-2(3z)(2)+2²

= 3z²-12z+4

Answer 2

Answer:

2) x = 2

3) Any five - 51/75 , 52/75......59/75

4) 3a + 7b - 6c

5) 9z² - 12z + 4

Step-by-step explanation:

2)

5^(2x+1) ÷ 5² = 125

Law of exponent — a^m ÷ a^n = a^(m-n)

5^(2x+1-2) = 5³

5^(2x-1) = 5³

Since the bases are same, powers should be equal.

2x - 1 = 3

2x = 4

x = 2

3)

Since the Denominators are unequal, we multiply and make them equal.

2/3 × 5/5 = 10/15

4/5 × 3/3 = 12/15

There is only 1 rational number between 10/15 and 12/15, so multiply and divide both by 5

10/15 × 5/5 = 50/75

12/15 × 5/5 = 60/75

Now we have 9 rational numbers between 50/75 and 60/75 namely 51/75 , 52/75......59/75.

You can write any five.

4)

6a + 8b - 5c

-4a + 2b + c

a - 3b - 2c (+)

------------------

3a + 7b - 6c

5)

(3z - 2)(3z - 2) = (3z - 2)²

Identity—(a - b)² = a² - 2ab + b²

= (3z)² - 2(3z)(2) + 2²

= 9z² - 12z + 4

Hope it helps you:)