High School

If [tex](7x + 3y)(5x - 2y) = ax^2 + bxy + cy^2[/tex], what is the value of abc?


A. -210

B. 210

C. -175

D. 175

Answer :

The value of abc is 35 * 1 * -6 = -210, which is option A.

What are the coefficients?

Coefficients are the whole number. that's a fraction of the coefficients that would be the numbers in front of the variable. Variables are the letters in the equation.

Expanding the left side of the equation:

(7x + 3y)(5x - 2y) = 35x^2 - 14xy + 15xy - 6y^2 = 35x^2 + xy - 6y^2

Comparing the expanded form with the right side of the equation:

35x^2 + xy - 6y^2 = ax^2 + bxy + cy^2

Comparing coefficients, we have:

a = 35, b = 1, c = -6

Therefore, the value of abc is 35 * 1 * -6 = -210, which is option A.

To learn more about the coefficients visit,

https://brainly.com/question/26314243

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