$=(4x-7)$
c.) $2x^2 - xx - 6$

x 2 − 6 ​

Explanation

Understanding the Expression We are given the expression 2 x 2 − xx − 6 and asked to simplify it. The term 'xx' is equivalent to x × x , which is x 2 . Therefore, we can rewrite the expression as 2 x 2 − x 2 − 6 .

Combining Like Terms Now, we combine the like terms, which are the x 2 terms. We have 2 x 2 − x 2 , which simplifies to ( 2 − 1 ) x 2 = 1 x 2 = x 2 . So, the expression becomes x 2 − 6 .

Final Result Thus, the simplified expression is x 2 − 6 .


Examples
Imagine you are designing a square garden with side length 'x' meters. You initially planned for an area of 2 x 2 square meters, but then you reduced the area by x 2 square meters to account for a pathway, and further reduced it by 6 square meters for a flower bed. The expression 2 x 2 − x 2 − 6 = x 2 − 6 helps you calculate the final area of the garden. This kind of simplification is useful in various design and planning scenarios.

Answered by GinnyAnswer | 2025-07-08