(x^2 + x) / x-3x (4) = ?
Please answer and explain
Please be clearer. What does the bracketed 4 mean? Is everything to the right of the division sign on the denominator, or just the first x?
(x^2 + x) / x-3x .4=?
mean x 4
Do you mean:
4 (x^2 + x) / (x-3x)
= -2 (x+1)
= -2x -2
(x^2 + x) / 4(x-3x)
To simplify the expression, we need to follow the order of operations (also known as PEMDAS/BODMAS) and apply the distributive property as necessary. Let's break it down step-by-step:
1. Start by evaluating the expression inside the parentheses: (x^2 + x)
This expression cannot be simplified further, so it remains the same.
2. Next, divide the expression above by (x - 3x):
(x^2 + x) / (x - 3x)
To simplify the denominator, let's combine like terms:
(x^2 + x) / (-2x)
3. Finally, multiply the result above by 4:
4 * [(x^2 + x) / (-2x)]
To distribute the 4, we can multiply it to each term in the numerator:
(4 * x^2 + 4 * x) / (-2x)
Simplify further by distributing the 4:
(4x^2 + 4x) / (-2x)
This is the simplified form of the expression (x^2 + x) / (x - 3x) * 4.