example
Multiply: [latex]3\left(x+7\right)[/latex].
Solution
|
[latex]3\left(x+7\right)[/latex] |
Distribute. |
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[latex]3\cdot x+3\cdot 7[/latex] |
Simplify. |
[latex]3x+21[/latex] |
example
Multiply: [latex]x\left(x - 8\right)[/latex].
Answer:
Solution
|
[latex]x(x-8)[/latex] |
Distribute. |
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[latex]x^2-8x[/latex] |
Simplify. |
[latex]x^2-8x[/latex] |
example
Multiply: [latex]10x\left(4x+y\right)[/latex].
Answer:
Solution
|
[latex]10x(4x+y)[/latex] |
Distribute. |
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[latex]10x\cdot{4x}+10x\cdot{y}[/latex] |
Simplify. |
[latex]40x^2+10xy[/latex] |
example
Multiply: [latex]-2x\left(5{x}^{2}+7x - 3\right)[/latex].
Answer:
Solution
|
[latex]-2x\left(5{x}^{2}+7x - 3\right)[/latex] |
Distribute. |
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[latex]-2x\cdot 5{x}^{2}+\left(-2x\right)\cdot 7x-\left(-2x\right)\cdot 3[/latex] |
Simplify. |
[latex]-10{x}^{3}-14{x}^{2}+6x[/latex] |
example
Multiply: [latex]4{y}^{3}\left({y}^{2}-8y+1\right)[/latex].
Answer:
Solution
|
[latex]4{y}^{3}\left({y}^{2}-8y+1\right)[/latex] |
Distribute. |
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[latex]4{y}^{3}\cdot {y}^{2}-4{y}^{3}\cdot 8y+4{y}^{3}\cdot 1[/latex] |
Simplify. |
[latex]4{y}^{5}-32{y}^{4}+4{y}^{3}[/latex] |
example
Multiply: [latex]\left(x+3\right)p[/latex].
Answer:
Solution
|
[latex]\left(x+3\right)p[/latex] |
Distribute. |
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[latex]x\cdot p+3\cdot p[/latex] |
Simplify. |
[latex]xp+3p[/latex] |