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harkovskaia [24]

4 years ago

13

Prove for any value of y the value of expression y^4−(y^2−9)(y^2+9) is divisible by 9.

1 answer:

Mariana [72]4 years ago

4 0

Answer:

Step-by-step explanation:

y4−

(y2−9)(y2+9)

9

Distribute:

=y4+

−1

9

y4+9

Combine Like Terms:

=y4+

−1

9

y4+9

=(y4+

−1

9

y4)+(9)

=

8

9

y4+9

Answer:

=

8

9

y4+9

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