Answer:
The smallest positive number is 8
Step-by-step explanation:
let the smallest positive number = x
45 is a multiple of 9 ⇒ 9 x 5 = 45
the next multiple of 9 after 55 is 63
= 9 x 7
= 63
Thus, x + 55 = 63
x = 63 - 55
x = 8
The greatest common factor of 45 and 63 = 9
Therefore, the smallest positive number is 8
(3x^2+9x-6) - (2x^3-4x^2+6x-4)
Short Answer
2x^3+7x^2+3x-2
Step by Step
1.)2x^3 doesn’t subtract from anything because there are no other trinomials
2.)3x^2 - (-)4x^2 = 7x^2 because a double negative cancels out and you end up adding them
3.)9x-6x=3x
4.)-6 - (-)4 = -2 because double negatives cancel out into addition
Answer:
- (x + 3)(x - 3)(x^2 -3x + 9)(x^2 + 3x + 9)
Step-by-step explanation:
<u><em>Use of formulas:</em></u>
- <em>a^2 - b^2 = (a + b)(a -b)</em>
- <em>a^3 + b^3 = (a + b)(a^2 - ab + b^2)</em>
- <em>a^3 - b^3 = (a - b)(a^2 + ab + b^2)</em>
<u>Given the expression: </u>
<u>Factoring 729</u>
<u>Factoring the expression </u>
- x^6 - 3^6 =
- (x^3)^2 - (3^3)^2 =
- (x^3 + 3^3)(x^3 - 3^3) =
- (x + 3)(x^2 -3x + 9)(x - 3)(x^2 + 3x + 9) =
- (x + 3)(x - 3)(x^2 -3x + 9)(x^2 + 3x + 9)
Answer:
Does NOT include the number the circle is placed on
Step-by-step explanation:
I don't see the answer choices that you have, so this is the best I could do! Hoped it helped!
