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Simplify Algebraic Expressions using the Distributive Property>
Simplify Algebraic Expressions using the Distributive Property 1Simplify Algebraic Expressions using the Distributive Property 1
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Question 1 of 5
1. Question
Simplify the expression`3(a+4)`- (3a+12)
Hint
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Distribute `3` to the values inside the parenthesis`3``(a+4)` `=` `(``3``xxa)+(``3``xx4)` `=` `3a+(3xx4)` Combine the constant with the variable `=` `3a+12` Simplify further `3a+12` -
Question 2 of 5
2. Question
Simplify the expression`x(2x-5)`Hint
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Distribute `x` to the values inside the parenthesis`x``(2x-5)` `=` `(2x xx``x``)-(5xx``x``)` `=` `(2x^(1+1))-(5xxx)` Multiplication property of exponents `=` `2x^2-5x` Combine the constant with the variable `2x^2-5x` -
Question 3 of 5
3. Question
Simplify the expression`(5-8x)11`- (55-88x)
Hint
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Distribute `5` to the values inside the parenthesis`(5-8x)``11` `=` `(5xx``11``)-(8x xx``11``)` `=` `55-(8xx11xx x)` Keep constants to the left side `=` `55-88x` Combine the constant with the variable `55-88x` -
Question 4 of 5
4. Question
Simplify the expression`7y(6-3y)`Hint
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Distribute `7y` to the values inside the parenthesis`7y``(6-3y)` `=` `(``7y``xx6)-(``7y``xx3y)` `=` `[7xx6xxy]-[(7xx3)xx(yxxy)]` Keep the constants on the left side `=` `[42xxy]-[21xxy^(1+1)]` Multiplication property of exponents `=` `42y-21y^2` Combine the constant with the variable `42y-21y^2` -
Question 5 of 5
5. Question
Simplify the expression`3ab(2a+b)`Hint
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Distribute `3ab` to the values inside the parenthesis`3ab``(2a+b)` `=` `(``3ab``xx2a)+(``3ab``xxb)` `=` `[(3xx2)xx(axxa)xxb]+[3axx(bxxb)]` Keep the constants on the left side `=` `[(6)xxa^(1+1)xxb]+[3axxb^(1+1)]` Multiplication property of exponents `=` `6a^2b+3ab^2` Combine the constant with the variable `6a^2b+3ab^2`
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