Factor the sum or difference of two cubes.
-$343 + z ^ { 3 }$
A) $( z + 7 ) \left( z ^ { 2 } + 49 \right)$
B) $( z - 7 ) \left( z ^ { 2 } + 7 z + 49 \right)$ )
C) $( z + 7 ) \left( z ^ { 2 } - 7 z + 49 \right)$
D) $( z - 343 ) \left( z ^ { 2 } - 1 \right)$

Question

Quizplus · Accepted Answer

The sum of two cubes can be factored using the formula $a^3 + b^3 = (a + b)(a^2 - ab + b^2)$. Here, $343 = 7^3$, so $a = z$ and $b = 7$, leading to the factorization $(z + 7)(z^2 - 7z + 49)$.

Factor the Sum or Difference of Two Cubes 343+z3343 + z ^ { 3 }343+z3

Factor the Sum or Difference of Two Cubes $343 + z ^ { 3 }$