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Tresset [83]
3 years ago
14

What is the product of (4x – 7)(4x + 7)?

Mathematics
2 answers:
tekilochka [14]3 years ago
8 0

(4x - 7)(4x + 7)
As you might've noticed that, it's in the form of
(a+b) (a-b)
where
a = 4x and b = 7


Now wherever an expression is in this form we use an alzebric identity to solve it. whichis as followed,
(a + b)(a - b) =  {a}^{2}   - {b}^{2}

Simply use that identity and we'll get

{(4x)}^{2}  -  {7}^{2}  \\  = 16 {x}^{2}  - 49 \\



Therefore option (D) is the correct answer.





Hope you got it.
borishaifa [10]3 years ago
5 0
Multiply using FOIL method (first, outside, inside, last)

=(4x – 7)(4x + 7)
=(4x * 4x) + (4x * 7) + (-7 * 4x) + (-7 * 7)
=16x^2 + 28x - 28x - 49
x term cancels out to zero
=16x^2 - 49

ANSWER: D) 16x^2 - 49

Hope this helps! :)
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Step-by-step explanation:

0.4 = 4/10

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Alex_Xolod [135]

After talking with you here are two different options I think you are trying to ask:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If you are talking about: (\frac{-12}{3}) ^{3}

Answer: -62

Explanation:

PEMDAS tells us we need to do the exponent first:

-12³ = (-12)³ = -1728

<em>The parentheses are important so you cube the negative sign as well!</em>

3³ = 27

-1728 / 27 = -62

                           (\frac{-12}{3}) ^{3} simplified is -62

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If you are talking about (-1\frac{2}{3})³

Answer: -\frac{125}{27}

Explanation:

First, let us turn -1 and two thirds into a mixed number:

Ignoring the negative for now, we can 1 times 3 is 3. 3 plus 2 is 5. 5/3 is 5/3. Adding in the negative we get -\frac{5}{3}

To cube it we must do:

(-\frac{5}{3})(-\frac{5}{3})(-\frac{5}{3})

3 times 3 (9) times 3 is 27

5 times 5 (25) times 5 is 125

So we have 125/27

For the negative, we have three - - -

Two cancel each other out, and we are left with one (-) so our answer is negative

                           (-1\frac{2}{3})³ simplifed is -\frac{125}{27}

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2 years ago
3n - 5 = -8<br> what is the value of n?
lubasha [3.4K]
The value of n is 1 :)
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