Question

Which of these is the HCF of 10 (x2 - y2) and 5 (-3x + 3y)?
1) x - y
2) - x + y
3) 5 (x - y)
4) 5 (x + y)​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Which of these is the HCF of

10 (x² - y²) and 5 (-3x + 3y)

1) x - y

2) - x + y

3) 5 (x - y)

4) 5 (x + y)

EVALUATION

Here the given two expressions are

10 (x² - y²) and 5 (-3x + 3y)

We now factorise them

First expression

= 10 (x² - y²)

= 2 × 5 × ( x + y ) × ( x - y )

Second expression

= 5 (-3x + 3y)

= - 5 ( 3x - 3y )

= - 5 × 3 × ( x - y )

= - 3 × 5 × ( x - y )

So the required HCF = 5 ( x - y )

FINAL ANSWER

Hence the correct option is 3) 5 (x - y)

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ If HCF of two numbers be 40 then which of the following cannot be their LCM.

https://brainly.in/question/28609013

2. The HCF and LCM of two numbers are 17 & 1666 respectively. if one of the numbers is 119 find the other

https://brainly.in/question/13812250

Answer 2

Answer:

for the first one and the other is