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Simplify Algebraic Expressions 1Simplify Algebraic Expressions 1
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Question 1 of 4
1. Question
Simplify the expression`-5 xx y xx 2`- (-10y)
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When simplifying an expression, keep the constant at the left side and make sure no variables are repeated.First, combine the constants and solve for their product`-5``xxyxx``2` `=` `-5xx2``xxy` `=` `-10``xxy` 
Now that there are no repeated variables and the constant is kept at the left, we can simply remove the multiplication sign.`-10xxy` `=` `-10y` `-10y` -
Question 2 of 4
2. Question
Simplify the expression`a xx a xx b xx 2`Hint
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When simplifying an expression, keep the constant at the left side and make sure no variables are repeated.Multiplication Property of Exponents
`a^nxxa^m=a^(n+m)`First, keep the constants to the left side of the expression.`axxaxxbxx``2` `=` `2``xxaxxaxxb` Next, combine the same variables by multiplying them.Remember that all values without exponents have `1` as a hidden exponent.`2xxa^1xxa^1xxb` `=` `2xxa^((1+1))xxb` Multiplication property of exponents `=` `2xxa^2xxb` Now that there are no repeated variables and the constant is kept at the left, we can simply remove the multiplication sign.`2xxa^2xxb` `=` `2a^2b` `2a^2b` -
Question 3 of 4
3. Question
Simplify the expression`7f xx 2f xx 3`Hint
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When simplifying an expression, keep the constant at the left side and make sure no variables are repeated.Multiplication Property of Exponents
`a^nxxa^m=a^(n+m)`First, keep the constants to the left side of the expression.`7``fxx``2``fxx``3` `=` `7xx2xx3``xxfxxf` `=` `42``xxfxxf` Next, combine the same variables by multiplying them.Remember that all values without exponents have `1` as a hidden exponent.`42xxf^1xxf^1` `=` `42xxf^((1+1))` Multiplication property of exponents `=` `42xxf^2` Now that there are no repeated variables and the constant is kept at the left, we can simply remove the multiplication sign.`42xxf^2` `=` `42f^2` `42f^2` -
Question 4 of 4
4. Question
Find the correct simplified expression`5xx(m-3)`Hint
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When simplifying an expression, keep the constant at the left side and make sure no variables are repeated.Multiplication Property of Exponents
`a^nxxa^m=a^(n+m)`In algebraic terms, constants and variables next together means they are being multiplied to each other.Therefore, `5xx(m-3)` can be expressed as `5(m-3)`.`5(m-3)`
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