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

The solution to expand (4x^2+y^2)^2 is 16x^4+8x^2y^2+y^4

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

expand

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

16 x^{4} + 8 x^{2} y^{2} + y^{4}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(4 x^{2})^{2} + 2 \cdot 4 x^{2} y^{2} + (y^{2})^{2} : 16 x^{4} + 8 x^{2} y^{2} + y^{4}

= 16 x^{4} + 8 x^{2} y^{2} + y^{4}

(6 a b^{5} c^{3}) (- a^{2} c^{5})

(x^{3})^{2} y^{6}

a (a - b) - a (a - b)^{2}

- ∣ 4 - 16 ∣

\frac{1}{- 3} - \frac{1}{3}

What is expand (4x^2+y^2)^2 ?
The solution to expand (4x^2+y^2)^2 is 16x^4+8x^2y^2+y^4