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

Sagot :

Itz5151

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.

Hi student, let me help you out! :)

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We are asked to evaluate

[tex]\large\pmb{4(x+5)(x+1)(x+3)(x-3)}[/tex] for x=5.

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

  • 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:

[tex]\star~\large\pmb{4(5+5)(5+1)(5+3)(5-3)}[/tex]

Now, use the Order of Operations.

The first operation here is:

[tex]\dag[/tex] P=Parentheses

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

[tex]\star~\large\pmb{4(10)(6)(8)(2)}[/tex]

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

[tex]\star~\large\pmb{40\times6\times8\times2}[/tex]

Multiply!

[tex]\star~\Large\pmb{3840}~~\square\!\!\!\!\!\checkmark[/tex]

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.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

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