Question

question 4 of 10 factor the expression given below. write each factor as a polynomial in descending order. enter exponents using the caret ( ^ ). for example, you would enter x^2 as x^2. 125x^3 + 343y^3

Explanation:

Step1: Recall sum - of - cubes formula

The sum - of - cubes formula is $a^{3}+b^{3}=(a + b)(a^{2}-ab + b^{2})$.

Step2: Identify $a$ and $b$

For the expression $125x^{3}+343y^{3}$, we have $a = 5x$ since $(5x)^{3}=125x^{3}$ and $b = 7y$ since $(7y)^{3}=343y^{3}$.

Step3: Apply the formula

Substitute $a = 5x$ and $b = 7y$ into the sum - of - cubes formula:
$(5x + 7y)((5x)^{2}-(5x)(7y)+(7y)^{2})=(5x + 7y)(25x^{2}-35xy + 49y^{2})$

Answer:

$(5x + 7y)(25x^{2}-35xy + 49y^{2})$