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Question 1 of 4
Expand and simplify.
(3f-1)(f+5)(3f−1)(f+5)
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Use the FOIL Method to expand and simplify the expression.
Multiply the First, Outside, Inside, and Last terms, then simplify.
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(3f)(f)+(3f)(5)+(−1)(f)+(−1)(5)(3f)(f)+(3f)(5)+(−1)(f)+(−1)(5) |
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3f2+15f-f-53f2+15f−f−5 |
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== |
3f2+(15f-f)-53f2+(15f−f)−5 |
Collect like terms |
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== |
3f2+14f-53f2+14f−5 |
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Question 2 of 4
Expand and simplify.
(4t+3)(3t+1)(4t+3)(3t+1)
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Use the FOIL Method to expand and simplify the expression.
Multiply the First, Outside, Inside, and Last terms, then simplify.
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(4t)(3t)+(4t)(1)+(3)(3t)+(3)(1)(4t)(3t)+(4t)(1)+(3)(3t)+(3)(1) |
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== |
12t2+4t+9t+312t2+4t+9t+3 |
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== |
12t2+(4t+9t)+312t2+(4t+9t)+3 |
Collect like terms |
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== |
12t2+13t+312t2+13t+3 |
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Question 3 of 4
Expand and simplify.
(6+4f)(3-f)(6+4f)(3−f)
Incorrect
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Use the FOIL Method to expand and simplify the expression.
Multiply the First, Outside, Inside, and Last terms, then simplify.
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(6)(3)+(6)(−f)+(4f)(3)+(4f)(−f)(6)(3)+(6)(−f)+(4f)(3)+(4f)(−f) |
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== |
18-6f+12f-4f218−6f+12f−4f2 |
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= |
18 -6f+12f -4f2 |
Collect like terms |
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= |
18+6f-4f2 |
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Question 4 of 4
Expand and simplify.
(5-6t)(6-10t)
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Use the FOIL Method to expand and simplify the expression.
Multiply the First, Outside, Inside, and Last terms, then simplify.
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(5)(6)+(5)(−10t)+(−6t)(6)+(−6t)(−10t) |
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= |
30-50t-36t+60t2 |
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= |
30 -50t-36t +60t2 |
Collect like terms |
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= |
30-86t+60t2 |
