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Q.

By how much is a⁴− 4a²b²+ b⁴ less than a⁴+ 8a²b²+ b⁴?

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a

−12a²b²

b

12ab

c

12a²b²

d

−12ab

answer is C.

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Detailed Solution

Required expression

= (a⁴+ 8a²b²+ b⁴) − (a⁴− 4a²b²+ b⁴)

= a⁴+ 8a²b²+ b⁴ − a⁴+ 4a²b²− b⁴

Collecting the like terms together, we get

= a⁴− a⁴+ 8a²b² + 4a²b²+ b⁴− b⁴

= 12a²b²

Therefore, we can say that the expression a⁴− 4a²b²+ b⁴is less than a⁴+ 8a²b²+ b⁴ by 12a²b².

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By how much is a4 − 4a2b2 + b4 less than a4 + 8a2b2 + b4 ?