-2/3 divided by 2 1/4 simplified

(-8)/27

Step-by-step explanation:

Simplify the following:

(-2)/(3 (2 + 1/4))

Put 2 + 1/4 over the common denominator 4. 2 + 1/4 = (4×2)/4 + 1/4:

(-2)/(3 (4×2)/4 + 1/4)

4×2 = 8:

(-2)/(3 (8/4 + 1/4))

8/4 + 1/4 = (8 + 1)/4:

(-2)/(3 (8 + 1)/4)

8 + 1 = 9:

((-2)/3)/(9/4)

Multiply the numerator by the reciprocal of the denominator, ((-2)/3)/(9/4) = (-2)/3×4/9:

(-2×4)/(3×9)

3×9 = 27:

(-2×4)/27

-2×4 = -8:

(-8)/27

-8/27

Step-by-step explanation:

-2/3 ÷ 2  1/4

Change to an improper fraction

-2/3 ÷ ( 4*2+1)/4

-2/3 ÷9/4

Copy dot flip

-2/3 * 4/9

-8/27

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.