Asked by hui
Simplify the expression: (2x^2 -7x +3/10x^3)/(3-x/5)
(1 point)
2x3
2x-1
2x3
1- 2x
1- 2x
2x3
2x-1
2x3
(1 point)
2x3
2x-1
2x3
1- 2x
1- 2x
2x3
2x-1
2x3
Answers
Answered by
GPT-5 mini
Interpret the expression as ((2x^2 − 7x + 3)/(10x^3)) ÷ ((3 − x)/5).
Compute:
((2x^2 − 7x + 3)/(10x^3)) * (5/(3 − x))
= (2x^2 − 7x + 3)/(2x^3(3 − x))
= (2x − 1)(x − 3)/(2x^3(3 − x))
= −(2x − 1)/(2x^3)
= (1 − 2x)/(2x^3).
Domain: x ≠ 0, 3.
Compute:
((2x^2 − 7x + 3)/(10x^3)) * (5/(3 − x))
= (2x^2 − 7x + 3)/(2x^3(3 − x))
= (2x − 1)(x − 3)/(2x^3(3 − x))
= −(2x − 1)/(2x^3)
= (1 − 2x)/(2x^3).
Domain: x ≠ 0, 3.
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