Answered

Find expert answers and community-driven knowledge on IDNLearn.com. Get step-by-step guidance for all your technical questions from our dedicated community members.

Evaluate the expression [tex][tex]$4p^2 + 7q^3$[/tex][/tex] if [tex]$p = -3$[/tex] and [tex]$q = -2$[/tex].

Sagot :

GinnyAnsweridn
Sure, let's break down the solution for the given expression [tex]\(4p^2 + 7q^3\)[/tex] where [tex]\(p = -3\)[/tex] and [tex]\(q = -2\)[/tex].

Step 1: Calculate [tex]\(4p^2\)[/tex]

First, substitute [tex]\(p = -3\)[/tex] into the expression [tex]\(4p^2\)[/tex]:

[tex]\[4p^2 = 4(-3)^2\][/tex]

Next, compute [tex]\((-3)^2\)[/tex]:

[tex]\((-3)^2 = (-3) \times (-3) = 9\)[/tex]

Then, multiply by 4:

[tex]\[4 \times 9 = 36\][/tex]

So, the value of [tex]\(4p^2\)[/tex] is 36.

Step 2: Calculate [tex]\(7q^3\)[/tex]

Next, substitute [tex]\(q = -2\)[/tex] into the expression [tex]\(7q^3\)[/tex]:

[tex]\[7q^3 = 7(-2)^3\][/tex]

Next, compute [tex]\((-2)^3\)[/tex]:

[tex]\((-2)^3 = (-2) \times (-2) \times (-2) = -8\)[/tex]

Then, multiply by 7:

[tex]\[7 \times -8 = -56\][/tex]

So, the value of [tex]\(7q^3\)[/tex] is -56.

Step 3: Combine the results

Now, we simply add the two results together:

[tex]\[4p^2 + 7q^3 = 36 + (-56)\][/tex]

This simplifies to:

[tex]\[36 - 56 = -20\][/tex]

Final Answer:

So, the value of the expression [tex]\(4p^2 + 7q^3\)[/tex] when [tex]\(p = -3\)[/tex] and [tex]\(q = -2\)[/tex] is [tex]\(-20\)[/tex].
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Find clear answers at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.