Asked by Sierra Owens on May 07, 2024
Verified
Multiply and simplify. (3+4) (3−4) ( \sqrt { 3 } + 4 ) ( \sqrt { 3 } - 4 ) (3+4) (3−4)
A) 25
B) 1
C) -13
D) -7
E) 19
Simplify
The process of making a mathematical expression as simple as possible by performing all operations and reducing to the fewest terms.
Expression
A mathematical phrase that can contain numbers, variables, and operation symbols but doesn't have an equal sign.
- Comprehend the methodology involved in multiplying expressions with their conjugates and its effect on simplification processes.
Verified Answer
RA
Ricardo AvalosMay 13, 2024
Final Answer :
C
Explanation :
This is an application of the difference of squares formula, a2−b2=(a+b)(a−b)a^2 - b^2 = (a + b)(a - b)a2−b2=(a+b)(a−b) . Here, a=3a = \sqrt{3}a=3 and b=4b = 4b=4 , so the expression simplifies to (3)2−(4)2=3−16=−13(\sqrt{3})^2 - (4)^2 = 3 - 16 = -13(3)2−(4)2=3−16=−13 .
Learning Objectives
- Comprehend the methodology involved in multiplying expressions with their conjugates and its effect on simplification processes.