Question

please give the correct answer​

Answer 1

Answer:

Sum:

$6x^{4}-3x^{3}+7x^{2}-5x+1+(-3x^{4})+5x^{3}-9x^{2}+7x-2$

$=6x^{4}-3x^{3}+7x^{2}-5x+1-3x^{4}+5x^{3}-9x^{2}+7x-2$

$=6x^{4}-3x^{4}-3x^{3}+5x^{3}+7x^{2}-9x^{2}-5x+7x+1-2$

$=3x^{4}+2x^{3}-2x^{2}+2x-1$

Difference:

$3x^{4}+2x^{3}-2x^{2}+2x-1-2x^{4}-5x^{3}+2x^{2}-6x-8$

$= 3x^{4}-2x^{4}+2x^{3}-5x^{3}-2x^{2}+2x^{2}+2x-6x-1-8$

$=x^{4}-3x^{3}-4x-9$

Hence, the answer to the given question is $x^{4}-3x^{3}-4x-9$

Hope it helps

Answer 2

Answer:

(−3x

4

)+5x

3

−9x

2

+7x−2

=6x^{4}-3x^{3}+7x^{2}-5x+1-3x^{4}+5x^{3}-9x^{2}+7x-2=6x

4

−3x

3

+7x

2

−5x+1−3x

4

+5x

3

−9x

2

+7x−2

=6x^{4}-3x^{4}-3x^{3}+5x^{3}+7x^{2}-9x^{2}-5x+7x+1-2=6x

4

−3x

4

−3x

3

+5x

3

+7x

2

−9x

2

−5x+7x+1−2

=3x^{4}+2x^{3}-2x^{2}+2x-1=3x

4

+2x

3

−2x

2

+2x−1

Difference:

3x^{4}+2x^{3}-2x^{2}+2x-1-2x^{4}-5x^{3}+2x^{2}-6x-83x

4

+2x

3

−2x

2

+2x−1−2x

4

−5x

3

+2x

2

−6x−8

= 3x^{4}-2x^{4}+2x^{3}-5x^{3}-2x^{2}+2x^{2}+2x-6x-1-8=3x

4

−2x

4

+2x

3

−5x

3

−2x

2

+2x

2

+2x−6x−1−8

=x^{4}-3x^{3}-4x-9=x

4

−3x

3

−4x−9

Hence, the answer to the given question is x^{4}-3x^{3}-4x-9x

4

−3x

3

−4x−9