simplify the complex fraction. y -1/ y2 + y -6 over y-6/y+3?

3 Answers

Feb 20, 2025

(y – 1)/(y^2 + y – 6) / ((y – 6)/(y + 3)) = (y – 1)/((y + 3)(y – 2)) / ((y – 6)/(y + 3))= (y – 1)/((y – 2)(y – 6))... Show More

Lavinia Carroll

Feb 20, 2025

Break the complex fraction up into division:(y – 1) / (y^2 + y – 6) Ã· (y – 6) / (y + 3)Factor out as much as possible:(y – 1) / (y + 3)(y – 2) Ã· (y – 6) / (y + 3) Like you would in normal fractional divison, flip the second fraction and multiply:(y – 1) / (y + 3)(y – 2) x (y + 3) / (y – 6)When multiplying fractions you can simplify either vertically or diagonally, NEVER horizontally. So simplify the (y + 3) and (y + 3):(y – 1) / (y – 2) x 1 / (y – 6)Now multiply the numerators and denominators into each other: (y – 1) / (y – 2)(y – 6)... Show More

Lavinia Carroll

Feb 20, 2025

Note that brackets MUST be used.(y – 1) / (yÂ² + y – 6)—————————(y – 6) / (y + 3)(y – 1) (y + 3)———————–(y – 6) (y + 3)(y – 2)y – 1—————-(y – 6) (y – 2)... Show More

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Alize Kuhn

simplify the complex fraction. y -1/ y2 + y -6 over y-6/y+3?

3 Answers

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