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Write down the expansion of (2x+y)^4

Sagot :

[tex](2x+y)^4[/tex]

Use the following formula:

[tex](a+b)^4=a^4+4a^3b+6a^2b^2+4ab^3+b^4[/tex]

Let:

[tex]\begin{gathered} a=2x \\ b=y \end{gathered}[/tex]

Therefore:

[tex]\begin{gathered} (2x+y)^4=(2x)^4+4(2x)^3y+6(2x)^2y^2+4(2x)y^3+y^4 \\ (2x+y)^4=16x^4+32x^3y+24x^2y^2+8xy^3+y^4 \end{gathered}[/tex]

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