How do you know to add for the first one and multiply for the second??

I would love to help but the picture shows it's blocked. may you tell me the question and i'll try to help you?

Step-by-step explanation:

When you multiply the variables with different exponents, you add. When you multiply an exponent with another exponent, you multiply.

Step-by-step explanation:

Answer above

answer: the common difference is -0.10

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)