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pishuonlain [190]
3 years ago
5

What is the product of 1/2x-1/4 and 5x^2-2x+6

Mathematics
1 answer:
alex41 [277]3 years ago
8 0

Answer:

\frac{5}{2}  x^{3} -\frac{9}{4}x^{2} +\frac{7}{2} x-\frac{3}{2}

Step-by-step explanation:

1.  (\frac{1}{2} x-\frac{1}{4} )(5x^{2} -2x+6)\\\\2.  \frac{1}{4}(2x-1)(5x^{2} -2x+6)\\\\3. \frac{1}{4} (10x^{3} -4x^{2} +12x-5x^{2} +2x-6)\\\\4. \frac{1}{4} (10x^{3} -9x^{2} +14x-6)\\\\5. \frac{5}{2} x^{3} -\frac{9}{4} x^{2} +\frac{7}{2} x-\frac{3}{2}

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Answer:

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Answer:

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Step-by-step explanation:

To find what the expression equals, you can collect like terms. This means to do the operations (add or subtract) the numbers that have the same variables.

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= 8x + 5 + 4x - 3        Collect like terms

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Therefore (8x + 5) + (4x - 3) is equal to 12x + 2.

If you want, you can also find another equal expression by factoring. Since "12x" and "2" are both divisible by the factor 2, you can <em>take it out</em> and put the other numbers in a bracket.

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