Math, asked by ujjayatisikder, 9 months ago

divide : x³+27 by x+3​

Answers

Answered by KalpExpert
13

Answer:

SOLUTION IS

Step-by-step explanation:

x^3 + 27, YOU CAN WRITE IT AS x^3 + 0x^2 + 0x + 27

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PLZ MARK IT BRAINLIEST IT TAKES A LOT OF EFFORTS

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Answered by Dhruv4886
1

On dividing (x³+27) by (x+3)​ we will get (x²–3x+9²).

Given:

x³+27 and x+3​

To find:

Divide:  x³+27  by  x+3​

Solution:

Given x³+27

As we know 3³ = 27

⇒ x³+27 = (x³+3³)

From Algebraic identities,

           (a³ - b³) = (a - b) (a² + ab + b²)

Take a = x and b = 3

⇒ (x³ - 3³) = (x + 3) (x² – x(3) + 3²)

                 = (x + 3) (x² –3x + 9²)  

⇒ (x³+27)/ (x+3)

=  (x+3) (x²–3x+9²)/(x+3)​ = (x²–3x+9²)

Therefore,

On dividing (x³+27) by (x+3)​ we will get (x²–3x+9²).

#SPJ2

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