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

The solution to expand (5x^4+y^5)^2 is 25x^8+10x^4y^5+y^{10}

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

expand

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

25 x^{8} + 10 x^{4} y^{5} + y^{10}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(5 x^{4})^{2} + 2 \cdot 5 x^{4} y^{5} + (y^{5})^{2} : 25 x^{8} + 10 x^{4} y^{5} + y^{10}

= 25 x^{8} + 10 x^{4} y^{5} + y^{10}

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

- 12 - (- 10)

b^{2} + 5 b + 4

\frac{15 t ^{9}}{( 5 t ^{4} ) ^{3}}

121 x^{2} - 64

What is expand (5x^4+y^5)^2 ?
The solution to expand (5x^4+y^5)^2 is 25x^8+10x^4y^5+y^{10}