simplify:15xsquared y cubed+9xsquared y cubed ÷8xsquared y cubed
Type these type of questions like this:
(15x^2 y^3 + 9x^2 y^3)/(8x^2 y^3)
= 24x^2 y^3/(8x^2 y^3)
= 3 , x≠0, y≠0
To simplify the given expression, we will use the following steps:
Step 1: Combine like terms in the numerator.
Step 2: Combine like terms in the denominator.
Step 3: Simplify the fraction by dividing the numerator by the denominator.
Now, let's apply these steps to our expression:
Step 1: Combine like terms in the numerator (15x^2y^3 + 9x^2y^3):
15x^2y^3 + 9x^2y^3 = (15 + 9) x^2y^3
= 24x^2y^3
Step 2: Combine like terms in the denominator (8x^2y^3):
8x^2y^3
Step 3: Simplify the fraction by dividing the numerator by the denominator:
(24x^2y^3) / (8x^2y^3) = 24/8 * x^2/x^2 * y^3/y^3
= 3 * 1 * 1
= 3
Therefore, the simplified expression is 3.