Math

QuestionFind the values for the following equations given a=11a=11 and b=3b=3: 2a+3b2a + 3b, a2b+10a^2 - b + 10, (ab)2(a+b)2(ab)^2 - (a+b)^2.

Studdy Solution

STEP 1

Assumptions1. The value of a is11. The value of b is3

STEP 2

First, we need to find the value of the expression 2a+b2a +b. We can do this by substituting the given values of a and b into the expression.
2a+b=2(11)+()2a +b =2(11) +()

STEP 3

Calculate the value of the expression 2a+3b2a +3b.
2a+3b=2(11)+3(3)=22+9=312a +3b =2(11) +3(3) =22 +9 =31

STEP 4

Next, we need to find the value of the expression a2b+10a^2 - b +10. We can do this by substituting the given values of a and b into the expression.
a2b+10=(11)23+10a^2 - b +10 = (11)^2 -3 +10

STEP 5

Calculate the value of the expression a2b+10a^2 - b +10.
a2b+10=(11)23+10=1213+10=128a^2 - b +10 = (11)^2 -3 +10 =121 -3 +10 =128

STEP 6

Finally, we need to find the value of the expression (ab)2(a+b)2(ab)^2 - (a + b)^2. We can do this by substituting the given values of a and b into the expression.
(ab)2(a+b)2=(11×3)2(11+3)2(ab)^2 - (a + b)^2 = (11 \times3)^2 - (11 +3)^2

STEP 7

Calculate the value of the expression (ab)2(a+b)2(ab)^2 - (a + b)^2.
(ab)2(a+b)2=(11×3)2(11+3)2=(33)2(14)2=1089196=893(ab)^2 - (a + b)^2 = (11 \times3)^2 - (11 +3)^2 = (33)^2 - (14)^2 =1089 -196 =893So, the values of the expressions are31,128, and893 respectively.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord