Basic Math Examples

Simplify 5g(3g+7g^2-9)
5g(3g+7g2-9)
Step 1
Apply the distributive property.
5g(3g)+5g(7g2)+5g-9
Step 2
Simplify.
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Step 2.1
Rewrite using the commutative property of multiplication.
53gg+5g(7g2)+5g-9
Step 2.2
Rewrite using the commutative property of multiplication.
53gg+57gg2+5g-9
Step 2.3
Multiply -9 by 5.
53gg+57gg2-45g
53gg+57gg2-45g
Step 3
Simplify each term.
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Step 3.1
Multiply g by g by adding the exponents.
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Step 3.1.1
Move g.
53(gg)+57gg2-45g
Step 3.1.2
Multiply g by g.
53g2+57gg2-45g
53g2+57gg2-45g
Step 3.2
Multiply 5 by 3.
15g2+57gg2-45g
Step 3.3
Multiply g by g2 by adding the exponents.
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Step 3.3.1
Move g2.
15g2+57(g2g)-45g
Step 3.3.2
Multiply g2 by g.
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Step 3.3.2.1
Raise g to the power of 1.
15g2+57(g2g1)-45g
Step 3.3.2.2
Use the power rule aman=am+n to combine exponents.
15g2+57g2+1-45g
15g2+57g2+1-45g
Step 3.3.3
Add 2 and 1.
15g2+57g3-45g
15g2+57g3-45g
Step 3.4
Multiply 5 by 7.
15g2+35g3-45g
15g2+35g3-45g
Step 4
Reorder 15g2 and 35g3.
35g3+15g2-45g
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