Question

find the product of (x - 36) (x2 - 4x +9) with full solution​

Answer 1

Appropriate Question -

• Find the product of (x - 36) and (x² - 4x + 9) with full solution.

Answer -

• x³ - 40x² + 153x - 324.

To find -

• The product of (x - 36) and (x² - 4x + 9).

Step-by-step explanation -

• Here, we have to multiply (x - 36) with (x² - 4x + 9).

Rule -

• Multiply each term of one polynomial with each term of the other polynomial and combine the like terms in the product to get the answer.

Applying the given rule -

$\longrightarrow$ (x - 36) (x² - 4x + 9)

$\longrightarrow$ (x)(x²) + (x)(-4x) + (x)(9) + (-36)(x²) + (-36)(-4x) + (-36)(9)

$\longrightarrow$ x³ - 4x² + 9x - 36x² + 144x - 324

$\longrightarrow$ x³ - 4x² - 36x² + 9x + 144x - 324

$\longrightarrow$ x³ - 40x² + 153x - 324

Hence -

• The product is x³ - 40x² + 153x - 324.

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Answer 2

Given :

find the product of (x - 36)(x² - 4x + 9)

How To Solve :

• Here we are provided with the question that we need to factorise the given terms. This this will be basically done by factorization method. Find we need to multiply the term x with (x² - 4x + 9) and then multiply 36 with (x² - 4x + 9) respectively. After that we will simplify the like like terms and put the unlike terms aside and get the required answer.

Solution :

• (x - 36)(x² - 4x + 9)

• x(x² - 4x + 9) - 36(x² - 4x + 9)

• x³ - 4x² + 9x - 36x² + 144x - 324

Combining the like terms :

• x³ - 4x² - 36x² + 9x + 144x - 324

• x³ - 40x² + 153x - 324

Henceforth, the answer is x³ - 40x² + 153x - 324

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[Note : The terms or the numbers should be arranged in order either form descending to ascending or vice-versa]