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GenaCL600 [577]
3 years ago
12

If f(x) = 2x^2 - 4x - 3' and `g(x) = (x - 4)(x + 4)", find 'f(x) - g(x).

Mathematics
1 answer:
Taya2010 [7]3 years ago
3 0

Answer:

B

Step-by-step explanation:

f(x) - g(x)

= 2x² - 4x - 3 - (x - 4)(x + 4) ← expand using FOIL

= 2x² - 4x - 3 - (x² - 16) ← distribute by - 1

= 2x² - 4x - 3 - x² + 16 ← collect like terms

= x² - 4x + 13 → B

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<h3>Hey Buddy,</h3>

<h3>Answer :-</h3>

Answer is 72 .

<h3><u>Explanation :-</u></h3>

\frac{6}{5}  \: of \: what \: number \: is \: 60 \:

You probably , Know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well .

• Any number can be converted to fraction if you use 1 as the denominator:

\frac{60}{1}

• So now that we've converted 60 into a fraction, to work out the answer, we put the fraction 6/5 side by side with our new fraction, 60/1 so that we can multiply those two fractions.

• convert the whole number to a fraction and then multiply the numerators and denominators.

\frac{6 \times 60}{5 \times 1}  =  \frac{360}{5}

• Our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

• You can use our handy GCF calculator to work this out yourself if you want to. We already did that , And the GCF of 360 and 5 is 5.

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\frac{72}{1}

<h3> Hence ,the complete and simplified answer to the question what is 6/5 of 60 is :- 72 .</h3>

<h3>Hope this helps you...!</h3>

<h3>#Carry on learning#</h3>

<h3>I hope you can understand !! </h3>

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