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Vanyuwa [196]
4 years ago
10

Please help asap!! binomial factor

Mathematics
2 answers:
ser-zykov [4K]4 years ago
8 0

Answer:

3x - 8

Step-by-step explanation:

the factors of the following equation 9x^{2}  - 64 = are:

(3x - 8)(3x + 8)

If you look the equation you can notice that you don´t have a term like -48x or 48x, so the factors must have a positive and negative sign.  

Remember first you need to multiply each segment and finally add.

(3x - 8)(3x + 8) = 9x^{2} - 24x + 24x -64 = 9x^{2}  - 64 =

GuDViN [60]4 years ago
4 0

<u>Answer:</u>

The binomial factor of the given equation is 3x-8

<u>Solution:</u>

We know that,

9=3\times3=3^{2}

64=8\times8=8^{2}

According to the formula, a^{2}b^{2} = (ab)^{2}

we get, 9x^{2}-64=3^{2}x^{2}-8^{2}=(3x)^{2}-8^{2}

From the formula, a^{2}-b^{2} = (a+b) (a-b)

Here in this step we can consider a as 3x and b as 8

On substituting the values we can simplify the above equation as, 9x^{2}-64 = (3x+8) (3x-8)

The factors 9x^{2}-64 are (3x+8) and (3x-8)

So, the answer is (3x-8)

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