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Popular >

expand 3(2x-5)^2

Solution

expand

3 (2 x - 5)^{2}

Solution

12 x^{2} - 60 x + 75

Solution steps

3 (2 x - 5)^{2}

Expand

(2 x - 5)^{2} : 4 x^{2} - 20 x + 25

= 3 (4 x^{2} - 20 x + 25)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

3 (4 x^{2} - 20 x + 25) = 3 \cdot 4 x^{2} + 3 (- 20 x) + 3 \cdot 25

= 3 \cdot 4 x^{2} + 3 (- 20 x) + 3 \cdot 25

Simplify

3 \cdot 4 x^{2} + 3 (- 20 x) + 3 \cdot 25 : 12 x^{2} - 60 x + 75

= 12 x^{2} - 60 x + 75

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Frequently Asked Questions (FAQ)

What is expand 3(2x-5)^2 ?
The solution to expand 3(2x-5)^2 is 12x^2-60x+75