Question

How much is 21a 3
– 17a 2
less than 89a 3

– 64a 2 + 6a + 16?

Answer 1

Answer:

Let the given polynomial is less than the other by M

According to question,

21a

3

−17a

2

+M=89a

3

−64a

2

+6a+16

⇒M=(89a

3

−64a

2

+6a+16)−(21a

3

−17a

2

)

⇒M=89a

3

−64a

2

+6a+16−21a

3

+17a

2

Collecting like terms,

⇒M=89a

3

−21a

3

−64a

2

+17a

2

+6a+16

⇒M=68a

3

−47a

2

+6a+16