Answer:
(7x + y)(49x² - 7xy + y²)
Additional Information:
Refer to the attached image for additional information about factoring cubes.
Explanation:
To factor the expression 343x³ + y³, we can use the sum of cubes formula:
=> a³ + b³ = (a + b)(a² - ab + b²)
Applying this formula to our expression, we have:
=> 343x³ + y³ = (7x)³ + (y)³
In our case,
a = 7x and b = y
Now we can rewrite it as:
=> (7x)³ + (y)³ = (7x + y)((7x)² - (7x)(y) + (y)²)
This simplifies down to:
=> (7x + y)(49x² - 7xy + y²)
We cannot factor further, thus the problem is solved.