Question

Evaluate 4(x+5)(x+1) (x+3)(x-3) for x = 5.

Answer 1

Answer:

3840

Step-by-step explanation:

Given expression:

4(x+5)(x+1)(x+3)(x - 3)

To:

Evaluate the expression ; for x = 5.

Solution:

• 4(x+5)(x+1)(x+3)(x - 3)

Evaluate x = 5 :

• 4(5+5)(5+1)(5+3)(5 - 3)

Simplify using PEMDAS rule:

P : Parentheses

E : Exponents

M : Multiplication

D : Division

A : Addition

S : Subtraction

• (4)(10)(5+1)(5+3)(5−3)
• 40(5+1)(5+3)(5−3)
• (40)(6)(5+3)(5−3)
• (240(5+3)(5−3)
• (240)(8)(5−3)
• 1920(5−3)
• (1920)(2)
• 3840

Hence, after evaluating the given expression for x = 5 , the answer'll be 3840.

Answer 2

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to evaluate

$\large\pmb{4(x+5)(x+1)(x+3)(x-3)}$ for x=5.

$\triangle~\fbox{\bf{KEY:}}$

• Use PEMDAS. With the help of this acronym, we will not make any mistakes in the Order of Operations!

Here's what PEMDAS stands for:

P=Parentheses

E=Exponents

M=Multiplication

D=Division

A=Addition

S=Subtraction

So, let's start computing...

///\\\///\\\///\\\///\\\///\\\////\\\///\\\///\\\///\\\///\\//\\\///\\\///\\\///\\\\///\\\\///\\\///\\\///\

                                   Evaluating the expression

First, substitute 5 for x:

$\star~\large\pmb{4(5+5)(5+1)(5+3)(5-3)}$

Now, use the Order of Operations.

The first operation here is:

$\dag$ P=Parentheses

So we need to perform the operations inside the parentheses first:

$\star~\large\pmb{4(10)(6)(8)(2)}$

The next operation is multiplication, since we don't have any exponents here:

$\star~\large\pmb{40\times6\times8\times2}$

Multiply!

$\star~\Large\pmb{3840}~~\square\!\!\!\!\!\checkmark$

That's the value of the expression 4(x+5)(x+1)(x+3)(x-3) for x=5.

Hope it helps you out! :D

Ask in comments if any queries arise.

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