Subtract. write answer as mixed number in simplest form.

2

Step-by-step explanation:

one way is to change the mixed numbers to improper fractions

5 = and 2 =

now we have

-

We require the fractions to have a common denominator before we can subtract them.

the lowest common multiple of 4 and 10 is 20

multiply the numerator/denominator of the first fraction by 5 and the numerator/denominator of the second fraction by 2

= -

= -

now subtract the numerators leaving the denominator

= = 2 ← in simplest form

Step-by-step explanation:

simplify

common denominator

simplify

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)