What is expand sqrt((4a+2)^2-4*3*(a^2+2a)) ?

The solution to expand sqrt((4a+2)^2-4*3*(a^2+2a)) is 2a-2

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expand sqrt((4a+2)^2-43(a^2+2a))

expand

(4 a + 2)^{2} - 4 \cdot 3 \cdot (a^{2} + 2 a)

2 a - 2

Solution steps

(4 a + 2)^{2} - 4 \cdot 3 (a^{2} + 2 a)

Multiply the numbers:

4 \cdot 3 = 12

= (4 a + 2)^{2} - 12 (a^{2} + 2 a)

Factor

(4 a + 2)^{2} - 12 (a^{2} + 2 a) : 4 (a - 1)^{2}

= 4 (a - 1)^{2}

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 4 (a - 1)^{2}

4 = 2

= 2 (a - 1)^{2}

Apply radical rule:

assuming

a \geq 0

(a - 1)^{2} = a - 1

= 2 (a - 1)

Apply the distributive law:

a (b - c) = ab - a c

a = 2, b = a, c = 1

= 2 a - 2 \cdot 1

Multiply the numbers:

2 \cdot 1 = 2

= 2 a - 2

\frac{5 ( 1 + 17 )}{2}

(x + 2 x^{2} - x^{3} + 5 x^{4}) d x

\frac{K ( s + 3 )}{s ( s + 1 ) ( s + 2 ) ( s + 4 )}

2 (- 2 + \frac{3 i}{n})^{2}

\frac{t ^{2} + 1}{( 1 + t ) ^{3}}

What is expand sqrt((4a+2)^2-4*3*(a^2+2a)) ?
The solution to expand sqrt((4a+2)^2-4*3*(a^2+2a)) is 2a-2