Mathematics, 27.07.2019 21:40 Anderson0300

Simplify each of the following fractions 1a)2/x4 1b)3x+9/x+5 1c) 14x^3-x^2+9x-2/x^2-16 1d)3x/6x^2-x-2

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Answer from: Dailyn

step 1 : 6 Simplify —— x2 Equation at the end of step 1 : 10 6 x2)+3x)-————)-2x)-15)——)+6x)+9) (x2)x^2)x2 Step 2 :Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using x2 as the denominator :

x2 + x (x2 + x) • x2 x2 + x = —————— = ————————————— 1 x2

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Step 3 :Pulling out like terms :

3.1 Pull out like factors :

x2 + x = x • (x + 1)

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • (x+1) • x2 - (6) x4 + x3 - 6 ———————————————————— = ——————————— x2 x2 Equation at the end of step 3 : 10 (x4+x3-6) x2)+3x)-————)-2x)-15)—————————+6x)+9) (x2)(( x2 Step 4 :Rewriting the whole as an Equivalent Fraction :

4.1 Adding a whole to a fraction

Rewrite the whole as a fraction using x2 as the denominator :

6x 6x • x2 6x = —— = ——————— 1 x2

Answer from: Quest

answer: 1 2 3 6

step-by-step explanation:

1x6=6 2x3=6

Answer from: Quest

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84 (as 9^2 = 9*9 = 81)

which is the second choice

regards,

mrb

p.s. i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!

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Simplify each of the following fractions 1a)2/x4 1b)3x+9/x+5 1c) 14x^3-x^2+9x-2/x^2-16 1d)3x/6x^2-x-...

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