Answer:
Best to draw out a factor tree.
Answer:
5 sqrt2.
Step-by-step explanation:
sqrt8 = sqrt4 * sqrt2 = 2 sqrt2
sqrt18 = sqrt9 * sqrt2 = 3 sqrt2
So simplifying:
5sqrt 8 - sqrt18 - 2 sqrt2
= 5*2sqrt2 - 3 sqrt 2 - 2 sqrt2
= 10 sqrt2 - 5 sqrt2
= 5 sqrt2 (answer).
Answer:
x³ + 7x² - 6x - 72
Step-by-step explanation:
Given
(x + 6)(x + 4)(x - 3) ← expand the second and third factor, that is
(x + 4)(x - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 3) + 4(x - 3) ← distribute both parenthesis
= x² - 3x + 4x - 12 ← collect like terms
= x² + x - 12
Now multiply this by (x + 6) in the same way
(x + 6)(x² + x - 12)
= x(x² + x - 12) + 6(x² + x - 12) ← distribute both parenthesis
= x³ + x² - 12x + 6x² + 6x - 72 ← collect like terms
= x³ + 7x² - 6x - 72
x ≤ 6
which is A
or if not then it's B for
x ≥ 6