Question

Answer the following questions.


1. Jose asserted that (2 − 4 − 12) and (12 − 4 − 2) has the same factors. Is your classmate correct?

Prove by showing your solution.


2. Can the difference of two squares be applicable to (32 − 12)? If yes, how?


3. Clara factored (2 + 36) using the difference of two squares. How will you make him realize that his

answer is not correct?


4. The distance travelled by a tricycle is (183 + 122 + 15 + 10) km. In (3 + 2) hours, what could be its

speed? Express your answer in polynomial form.
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Answer 1

Step-by-step explanation:

2) When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).

3) The Attachment is for Q 3

4)

This much I can Help