Question

How do you factor `316 - 343t^3`?

Answer 1

`(6-7t)(36+42t+t^2)`

Explanation:

Assuming the question as `216-343t^3` as suggested by Mr George,
`a^3-b^3=(a-b)(a^2+ab+b^2`
`6^3=216` Hence `a=6` & `7^3=343` and hence `b=7`.
The factors are
`(6-7t)(6^2+(6*7t)+(7t)^2)`
`(6-7t)(36+42t+t^2)`