Simplify (3z+y^5)^2

Math
(3z+y5)2
Rewrite (3z+y5)2 as (3z+y5)(3z+y5).
(3z+y5)(3z+y5)
Expand (3z+y5)(3z+y5) using the FOIL Method.
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Apply the distributive property.
3z(3z+y5)+y5(3z+y5)
Apply the distributive property.
3z(3z)+3zy5+y5(3z+y5)
Apply the distributive property.
3z(3z)+3zy5+y5(3z)+y5y5
3z(3z)+3zy5+y5(3z)+y5y5
Simplify and combine like terms.
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Simplify each term.
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Multiply z by z.
3⋅3z2+3zy5+y5(3z)+y5y5
Multiply 3 by 3.
9z2+3zy5+y5(3z)+y5y5
Rewrite using the commutative property of multiplication.
9z2+3zy5+3y5z+y5y5
Multiply y5 by y5 by adding the exponents.
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Use the power rule aman=am+n to combine exponents.
9z2+3zy5+3y5z+y5+5
Add 5 and 5.
9z2+3zy5+3y5z+y10
9z2+3zy5+3y5z+y10
9z2+3zy5+3y5z+y10
Add 3zy5 and 3y5z.
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Move z.
9z2+3y5z+3y5z+y10
Add 3y5z and 3y5z.
9z2+6y5z+y10
9z2+6y5z+y10
9z2+6y5z+y10
Move 9z2.
6y5z+y10+9z2
Reorder 6y5z and y10.
y10+6y5z+9z2
Simplify (3z+y^5)^2

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