Please help i will give brainliest :/

Area of grassy space is x² - 13x + 23

Step-by-step explanation:

The area of the grassy space is equal to the difference between the area of the entire yard and the area of the pool

∵ The area of the entire yard = 3x² - 14x - 5

∵ The area of the pool = (x - 4)(2x + 7)

- Lets simplify the area of the pool by multiplying the brackets

∵ (x - 4)(2x + 7) = (x)(2x) + (x)(7) + -4(2x) + -4(7)

∴ (x - 4)(2x + 7) = 2x² + 7x + (-8x) + (-28)

- Add the like terms in the right hand side

∴ (x - 4)(2x + 7) = 2x² - x - 28

Now lets find the difference between the area of the entire yard and the area of the pool to find the area of the grassy space

∵ Area of grassy space = (3x² - 14x - 5) - (2x² - x - 28)

- Multiply all the terms of the second bracket by (-)

∴ Area of grassy space = 3x² - 14x - 5 - 2x² + x + 28

- Add the like terms

∴ Area of grassy space = (3x² - 2x²) + (-14x + x) + (-5 + 28)

∴ Area of grassy space = x² + (-13x) + 23

∴ Area of grassy space = x² - 13x + 23