Question

What is the product of (x+2y) and (3x-5y)?

a) 3x^2 + 6xy - 5y^2
b) 3x^2 + 6xy - 10y^2
c) 3x^2 - 6xy - 5y^2
d) 3x^2 - 6xy - 10y^2

Answer 1

To find the product of (x+2y) and (3x-5y), you can use the distributive property. Multiply each term in the first expression by each term in the second expression.

Step-by-step explanation:

To find the product of (x+2y) and (3x-5y), you can use the distributive property. Multiply each term in the first expression by each term in the second expression:

(x+2y)(3x-5y) = x(3x) + x(-5y) + 2y(3x) + 2y(-5y)

Simplify each term:

3x^2 - 5xy + 6xy - 10y^2

Combine like terms:

3x^2 + xy - 10y^2

Therefore, the correct answer is option b) 3x^2 + 6xy - 10y^2.