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

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

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

expand

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

3 x^{4} + 6 x^{2} y^{2} + 3 y^{4}

Solution steps

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

Expand

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

= 3 (x^{4} + 2 x^{2} y^{2} + y^{4})

Apply the distributive law:

m (a + b + c) = ma + mb + m c

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

= 3 x^{4} + 3 \cdot 2 x^{2} y^{2} + 3 y^{4}

Multiply the numbers:

3 \cdot 2 = 6

= 3 x^{4} + 6 x^{2} y^{2} + 3 y^{4}

5 - 18

\frac{1}{7} \times 2

x^{6} - x

50 x^{4} y^{5}

\frac{- 2 - 39 i}{6 - 5 i}

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