Question

What is the factored form of y²+ xy - 6x²?

A. (y - 3x)(y + 2x)
B. (y - 2x)(y + 3x)
C. yy 4x) + x(y - 6x)
D. The expression is already fully factored.

Answer 1

The factored form of y² + xy - 6x² is (y - 3x)(y + 2x), which corresponds to option A.

Step-by-step explanation:

The student has asked to identify the factored form of the quadratic expression y² + xy - 6x². To factor this expression, we look for two numbers that multiply to give -6 (the coefficient of x²) and add up to give 1 (the coefficient of x in the middle term). These two numbers are 2 and -3. Therefore, the factored form of the expression is (y - 3x)(y + 2x), which corresponds to option A.