Give the expression (8x2 + 4x) ÷ (4x3 + 12x) with no common factors
Question
Give the expression (8x2 + 4x) ÷ (4x3 + 12x) with no common factors
Solution
To simplify the expression (8x^2 + 4x) ÷ (4x^3 + 12x), we first factor out the common factors in each term.
The expression (8x^2 + 4x) can be factored to 4x(2x + 1).
The expression (4x^3 + 12x) can be factored to 4x(x^2 + 3).
So, the original expression becomes 4x(2x + 1) ÷ 4x(x^2 + 3).
We can now cancel out the common factor of 4x from the numerator and the denominator.
This leaves us with (2x + 1) ÷ (x^2 + 3) as the simplified expression with no common factors.
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