{(y²-17y+60)(y²-9)}{(y²-15y+36)} is equal to:

Correct Answer is : (y−5)(y+3)(y - 5) (y + 3)(y−5)(y+3)

Correct Answer is : (y−5)(y+3)(y - 5) (y + 3)(y−5)(y+3)

Test Index

CTET Paper II (Mathematics and Science) 19 Jan 2023 Solved Paper

Question : 40 of 150

Marks: +1, -0

\frac{(y^{2}-17y+60)(y^{2}-9)}{(y^{2}-15y+36)}

is equal to:

Solution:

Concept:

Factor each quadratic expression and cancel common factors in the numerator and denominator.

Explanation:

Factor

y^{2} - 17y + 60

(y-12)(y-5)

Factor

y^{2} - 9

(y-3)(y+3)

Factor

y^{2} - 15y + 36

(y-12)(y-3)

The given expression becomes

\frac{(y-12)(y-5)(y-3)(y+3)}{(y-12)(y-3)}

Cancel the common factors

(y-12)

and

(y-3)

The result is

(y-5)(y+3)

Answer:

(y - 5) (y + 3)

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