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alexdok [17]
3 years ago
6

Factor the polynomial completely

Mathematics
1 answer:
Yuki888 [10]3 years ago
7 0
<h2>Answer:</h2>

\boxed{(7-5x)(49+35x+25x^2)}

<h2>Step-by-step explanation:</h2>

These are the steps you must follow to solve this problem:

Step 1:

We can write 125=5^3 and 343=7^3 so:

343-125x^3=(7^3-5^3x^3)

Step 2:

We can arrange this as follows:

343-125x^3=[7^3-(5x)^3]

Step 3:

So we can use difference of cubes formula:

(a^3-b^3)=(a-b)(a^2+ab+b^2)

So:

a=7 \\ \\ b=5x

Therefore:

343-125x^3=(7-5x)[(7)^2+(7)(5x)+(5x)^2]

343-125x^3=(7-5x)(49+35x+25x^2)

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