Tyler is saving to buy a new laptop. He has saved $119 so far. Let c represent the cost of the new laptop. Write an algebraic expression that represents the amount of money Noah still needs to save.

Step-by-step explanation:

let's take the rest of the money needed to be saved for purchasing the laptop be x

then,

the cost of laptop =

money saved + more money needed

so, the required expression is :

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)

the answer is 40.

proof: