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Distributive Property with Variables>
Distributive Property with Variables 3Distributive Property with Variables 3
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Question 1 of 4
1. Question
Simplify the expression`5b(7b-3)-12b`Hint
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Distribute `5b` to the values inside the parenthesis`5b``(7b-3)-12b` `=` `(``5b``xx7b)-(``5b``xx3)-12b` `=` `(35xxb^(1+1))-(15xxb)-12b` Multiplication property of exponents `=` `35b^2-15b-12b` Simplify further by combining like terms`35b^2``-15b-12b` `=` `35b^2``-27b` `35b^2-27b` -
Question 2 of 4
2. Question
Simplify the expression`4(2x^2+3x+5)-3x`Hint
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Distribute `4` to the values inside the parenthesis`4``(2x^2+3x+5)-3x` `=` `(``4``xx2x^2)+(``4``xx3x)+(``4``xx5)-3x` `=` `8x^2+12x+20-3x` Simplify further by combining like terms`8x^2+``12x` `+20-``3x` `=` `8x^2+(``12x-3x``)+20` `=` `8x^2``+9x` `+20` `8x^2+9x+20` -
Question 3 of 4
3. Question
Simplify the expression`2(6y^2-7y-9)-10y`Hint
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Distribute `2` to the values inside the parenthesis`2``(6y^2-7y-9)-10y` `=` `(``2``xx6y^2)-(``2``xx7y)-(``2``xx9)-10y` `=` `12y^2-14y-18-10y` Simplify further by combining like terms`12y^2-``14y` `-18-``10y` `=` `12y^2` `-14y-10y` `-18` `=` `12y^2-24y-18` `12y^2-24y-18` -
Question 4 of 4
4. Question
Simplify the expression`3(4x^2+1)-2(x^2+5)`Hint
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First, distribute `3` to the values inside the left parenthesis`3``(4x^2+1)-2(x^2+5)` `=` `(``3``xx4x^2)+(``3``xx1)-2(x^2+5)` `=` `12x^2+3-2(x^2+5)` Next, distribute `-2` to the values inside the right parenthesis`12x^2+3``-2``(x^2+5)` `=` `12x^2+3+(``-2``xxx^2)+(``-2``xx5)` `=` `12x^2+3-2x^2-10` Simplify further by combining like terms`12x^2``+``3``-``2x^2``-``10` `=` `(``12x^2-2x^2``)+(``3-10``)` `=` `10x^2` `-7` `10x^2-7`
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