Question

Subtract the sum of ( 8m - 7n +6p^2 ) and ( - 3m - 4n - p^2) from the sum of ( 2m + 4n - 3p^2 ) and ( - m - n - p ^2 )

Answer step by step.. ​

Answer 1

Sum of (8m - 7n + 6p²) and ( - 3m - 4n - p²):

(8m - 7n + 6p²) + ( - 3m - 4n - p²)

= 8m - 7n + 6p² - 3m - 4n - p²

= 5m - 11n + 5p²

Sum of (2m + 4n - 3p²) and ( - m - n - p²):

(2m + 4n - 3p²) + ( - m - n - p²)

= 2m + 4n - 3p² - m - n - p²

= m + 3n - 4p²

Subtraction of (5m - 11n + 5p²) and (m + 3n - 4p²):

(5m - 11n + 5p²) - (m + 3n - 4p²)

= 5m - 11n + 5p² - m - 3n + 4p²

= 4m - 14n + 9p²

Answer 2

Answer :-

$\fbox {4m -14n +9p^2}$

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Question :- Subtract the sum of ( 8m - 7n +6p^2 ) and ( - 3m - 4n - p^2) from the sum of ( 2m + 4n - 3p^2 ) and ( - m - n - p ^2 )

Step -1

Sum of

( 8m - 7n +6p^2 ) and ( - 3m - 4n - p^2)

8m - 7n + 6p^2 + ( - 3m - 4n - p^2)

8m - 7n + 6p^2 - 3m -4n -p^2

5m -11n + 5p^2 ----------(1)

Step -2

》sum of ( 2m + 4n - 3p^2 ) and ( - m - n - p ^2 )

2m + 4n -3p^2 + ( -m -n - p^2)

2m + 4n -3p^2 -m -n - p^2

m +3n -4p^2---------------(2)

As per question (1) - (2)

(5m -11n + 5p^2 ) -(m +3n -4p^2)

5m -11n +5p^2 - m - 3n +4p^2

$\fbox {4m -14n +9p^2}$