What is expand (8x^4+5y^3)^2 ?

The solution to expand (8x^4+5y^3)^2 is 64x^8+80x^4y^3+25y^6

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expand (8x^4+5y^3)^2

expand

(8 x^{4} + 5 y^{3})^{2}

64 x^{8} + 80 x^{4} y^{3} + 25 y^{6}

Solution steps

(8 x^{4} + 5 y^{3})^{2}

Apply Perfect Square Formula:

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

(8 x^{4} + 5 y^{3})^{2} = (8 x^{4})^{2} + 2 \cdot 8 x^{4} \cdot 5 y^{3} + (5 y^{3})^{2}

= (8 x^{4})^{2} + 2 \cdot 8 x^{4} \cdot 5 y^{3} + (5 y^{3})^{2}

Simplify

(8 x^{4})^{2} + 2 \cdot 8 x^{4} \cdot 5 y^{3} + (5 y^{3})^{2} : 64 x^{8} + 80 x^{4} y^{3} + 25 y^{6}

= 64 x^{8} + 80 x^{4} y^{3} + 25 y^{6}

lo g_{625} (5)

6 x^{8} y^{2} + 12 x^{2} y^{2}

2 x^{2} + 15 x - 27

\frac{75 x ^{3} y ^{3}}{25 x y ^{4}}

What is expand (8x^4+5y^3)^2 ?
The solution to expand (8x^4+5y^3)^2 is 64x^8+80x^4y^3+25y^6