What is expand (3x^5+2x^2)^2 ?

The solution to expand (3x^5+2x^2)^2 is 9x^{10}+12x^7+4x^4

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expand (3x^5+2x^2)^2

expand

(3 x^{5} + 2 x^{2})^{2}

9 x^{10} + 12 x^{7} + 4 x^{4}

Solution steps

(3 x^{5} + 2 x^{2})^{2}

Apply Perfect Square Formula:

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

(3 x^{5} + 2 x^{2})^{2} = (3 x^{5})^{2} + 2 \cdot 3 x^{5} \cdot 2 x^{2} + (2 x^{2})^{2}

= (3 x^{5})^{2} + 2 \cdot 3 x^{5} \cdot 2 x^{2} + (2 x^{2})^{2}

Simplify

(3 x^{5})^{2} + 2 \cdot 3 x^{5} \cdot 2 x^{2} + (2 x^{2})^{2} : 9 x^{10} + 12 x^{7} + 4 x^{4}

= 9 x^{10} + 12 x^{7} + 4 x^{4}

\frac{x ^{2} - 4 x}{x - 4}

a^{3} - a^{2} c - b a^{2} + ab c

(6 a + 1) (5 a + 2)

9 lo g_{10} (81)

9 x - 2 (2 x + 11) + 10

What is expand (3x^5+2x^2)^2 ?
The solution to expand (3x^5+2x^2)^2 is 9x^{10}+12x^7+4x^4