Given the following functions: *B(x) = 5x^4 + 8x^2 - 4x
*C(x) = -9x^4 + 4x^3 - 7x^2
*D(x) = -x^3 + 15x + 10
What is B(x) + C(x) + D(x)?
1. 14x^4 + 5x^3 + 15x^2 + 19x + 10
2. -4x^8 + 3x^6 + x^4 + 11x^2 + 10
3. -4x^4 + 3x^3 + x^2 + 11x + 10
4. 14x^4 + 3x^3 + 15x^2 + 11x + 10

Step-by-step explanation:

P(x) + Q(x) = 4x^2 + 6x - 9 -7x^2 - 12x +8

x^2 terms: 4x^2 - 7x^2 = - 3x^2

x  terms  : +6x - 12x =      - 6x

linear term: - 9 + 8 = - 1

-3x^2 - 6x - 1  

20/27

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step-by-step explanation:

1 simplify brackets

-\frac{8}{9}\times \frac{5}{6}−

​9

​

​8

​​ ×

​6

​

​5

​​

2 use this rule: \frac{a}{b}\times \frac{c}{d}=\frac{ac}{bd}

​b

​

​a

​​ ×

​d

​

​c

​​ =

​bd

​

​ac

​​

-\frac{8\times 5}{9\times 6}−

​9×6

​

​8×5

​​

3 simplify 8\times 58×5 to 4040

-\frac{40}{9\times 6}−

​9×6

​

​40

​​

4 simplify 9\times 69×6 to 5454

-\frac{40}{54}−

​54

​

​40

​​

5 simplify \frac{40}{54}

​54

​

​40

​​   to \frac{20}{27}

​27

​

​20

​​