Question

From the sum of
${a}^{2} + {4b}^{2} - 6ab | {a}^{2} - {b}^{2} + 6 \: and \: {a}^{2} - 4ab \: subtract \: \\ { - 2a}^{2} + {b}^{2} - ab + a$
Please give me answer in detail and with explanation. ​

Answer 1

I have done the sum in my notebook

Hope you understand.....

Answer 2

Given:-

• From the sum of
• ${a}^{2} + {4b}^{2} - 6ab | {a}^{2} - {b}^{2} + 6 \: and \: {a}^{2} - 4ab \: subtract \: \\ { - 2a}^{2} + {b}^{2} - ab + a$

To Find:-

• The Difference.

Solution:-

$\: \: \: \: \: \: \: \: \: \: {a}^{2} \: \: + \: \: {4b}^{2} \: \: - 6ab \: \: \\ \\ \: \: \: \: \: \: \: {a}^{2} \: \: - \: \: {b}^{2} \: \: + \: \: 2ab \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: + \: {b}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: + \: \: 6 \\ \\ \: \: \: \: \: \: \: {a}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - 4ab \\ - - - - - - - - - - - - - - - - - \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {3a}^{2} + {4b}^{2} - 8ab \: \: + 6$

$\small\bold{Sum=}$3a2+4b2-8ab+6

Now subtract the last expression from this sum!

${3a}^{2} \: \: + \: \: {4b}^{2} \: \: - \: \: 8ab \: \: + 6 \\ \\ \: \: \: \: \: \: \: \: \: \: - 2 {a}^{2} \: \: + \: \: {b}^{2} \: \: - ab \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: + a \\ \: \: \: \: \: \: \: \: \: \: \\ \: \: \: \: \: \: + \: \: \: \: \: \: \: \: - \: \: \: \: \: \: \: \: \: \: \: + \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - \\ - - - - - - - - - - - - - - \\ \\ \: \: \: \: \: \: \: {5a}^{2} \: \: + \: \: {3b}^{2} \: \: - \: \: 7ab \: \: + \: \: 6 \: \: - \: \: a$

:. $\small\bold{Difference=}$5a2+3b2-7ab+6-a

Required answer↗⬆↖

Explanation:-

hey mate! there's nothing much to explain as everything is arranged well but the step while adding may be little difficult for your to understand if you don't know this:-

(+)&(-)=(-)

(-)&(-)=(+)

And yes!We have exactly used this property in the question to solve it.

As while subtracting the suns I have clearly mentioned the signs that were changed afterwards.

Always remember:-

(To Subtract Simple Expressions)

• 1》

To subtract similar terms,change the significant if the subtracthend mentally and proceed as in addition.

• 2》

The subtraction of terms ,which are not similar can only be indicated.However ,the sign of the subtrahend must be changed.

(To Subtract Compount Expressions)

• METHOD 1》

If the polynomials are so arranged that similar terms are in vertical columns, change the signof each of the subtrahend mentally and proceed on in addition.

hope it helped!