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

The solution to expand (sqrt(a)+3sqrt(3)sqrt(a))^2 is 28a+6sqrt(3)a

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expand (sqrt(a)+3sqrt(3)sqrt(a))^2

expand

(a + 33 a)^{2}

28 a + 63 a

Solution steps

(a + 33 a)^{2}

Apply Perfect Square Formula:

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

(a + 33 a)^{2} = (a)^{2} + 2 a \cdot 33 a + (33 a)^{2}

= (a)^{2} + 2 a \cdot 33 a + (33 a)^{2}

Simplify

(a)^{2} + 2 a \cdot 33 a + (33 a)^{2} : 2 a (14 + 33)

= 2 a (14 + 33)

Apply the distributive law:

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

2 a (14 + 33) = 2 a \cdot 14 + 2 a \cdot 33

= 2 a \cdot 14 + 2 a \cdot 33

2 a \cdot 14 = 28 a

2 a \cdot 33 = 63 a

= 28 a + 63 a

\frac{x ^{2} ( 12 + x ^{2} ) ^{2}}{4}

1 + \frac{1325}{s ( s + 1.71 ) ( s + 100 )}

l c f (- 15, 10, - 5)

(e^{x^{2}} - 1)^{4}

\frac{32 ( 2 n + 1 ) ( n + 1 )}{3 n ^{2}}

What is expand (sqrt(a)+3sqrt(3)sqrt(a))^2 ?
The solution to expand (sqrt(a)+3sqrt(3)sqrt(a))^2 is 28a+6sqrt(3)a