Simplify (3z-2)(z+5)+4(z+5)

Math
(3z-2)(z+5)+4(z+5)
Simplify each term.
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Expand (3z-2)(z+5) using the FOIL Method.
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Apply the distributive property.
3z(z+5)-2(z+5)+4(z+5)
Apply the distributive property.
3z⋅z+3z⋅5-2(z+5)+4(z+5)
Apply the distributive property.
3z⋅z+3z⋅5-2z-2⋅5+4(z+5)
3z⋅z+3z⋅5-2z-2⋅5+4(z+5)
Simplify and combine like terms.
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Simplify each term.
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Multiply z by z by adding the exponents.
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Move z.
3(z⋅z)+3z⋅5-2z-2⋅5+4(z+5)
Multiply z by z.
3z2+3z⋅5-2z-2⋅5+4(z+5)
3z2+3z⋅5-2z-2⋅5+4(z+5)
Multiply 5 by 3.
3z2+15z-2z-2⋅5+4(z+5)
Multiply -2 by 5.
3z2+15z-2z-10+4(z+5)
3z2+15z-2z-10+4(z+5)
Subtract 2z from 15z.
3z2+13z-10+4(z+5)
3z2+13z-10+4(z+5)
Apply the distributive property.
3z2+13z-10+4z+4⋅5
Multiply 4 by 5.
3z2+13z-10+4z+20
3z2+13z-10+4z+20
Simplify by adding terms.
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Add 13z and 4z.
3z2+17z-10+20
Add -10 and 20.
3z2+17z+10
3z2+17z+10
Simplify (3z-2)(z+5)+4(z+5)

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