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

The solution to expand (3a^3+x^2)^2 is 9a^6+6a^3x^2+x^4

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

expand

(3 a^{3} + x^{2})^{2}

9 a^{6} + 6 a^{3} x^{2} + x^{4}

Solution steps

(3 a^{3} + x^{2})^{2}

Apply Perfect Square Formula:

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

(3 a^{3} + x^{2})^{2} = (3 a^{3})^{2} + 2 \cdot 3 a^{3} x^{2} + (x^{2})^{2}

= (3 a^{3})^{2} + 2 \cdot 3 a^{3} x^{2} + (x^{2})^{2}

Simplify

(3 a^{3})^{2} + 2 \cdot 3 a^{3} x^{2} + (x^{2})^{2} : 9 a^{6} + 6 a^{3} x^{2} + x^{4}

= 9 a^{6} + 6 a^{3} x^{2} + x^{4}

(3 + i) + (- 12 - 9 i)

(2 a - 1) (8 a - 5)

5 \times 4

(4 x^{4} + 3 x^{3} + 2 x^{2} - x + 1) + (5 x^{2} - 2 x + 3)

- 4 m^{0} p^{- 3} r^{2}

What is expand (3a^3+x^2)^2 ?
The solution to expand (3a^3+x^2)^2 is 9a^6+6a^3x^2+x^4