What is (2a+sqrt(b))^2 ?

The solution to (2a+sqrt(b))^2 is 4a^2+4asqrt(b)+b

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simplify (2a+sqrt(b))^2

simplify

(2 a + b)^{2}

4 a^{2} + 4 a b + b

Solution steps

(2 a + b)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(2 a + b)^{2} = (2 a)^{2} + 2 \cdot 2 a b + (b)^{2}

= (2 a)^{2} + 2 \cdot 2 a b + (b)^{2}

(2 a)^{2} = 4 a^{2}

2 \cdot 2 a b = 4 a b

(b)^{2} = b

= 4 a^{2} + 4 a b + b

x (x + 1)

\frac{2 x ^{3}}{( 2 + 3 x ) ^{2}}

\frac{2 x ^{2}}{( x + 2 ) ^{2}}

u (1, 2, 3) (- 1, - 2, - 3)

(8 (a + b) + 6 (- z - y)) (8 (a + b) + 6 (y + z))