All categories

3 years ago

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

Mathematics

1 answer:

Mariana [72]3 years ago

4 0

Answer:

Step-by-step explanation:

y4−

(y2−9)(y2+9)

Distribute:

=y4+

−1

y4+9

Combine Like Terms:

=y4+

−1

y4+9

=(y4+

−1

y4)+(9)

y4+9

Answer:

y4+9

You might be interested in

Find the explicit formula that produces the given sequence. <br> 3/2, 3/4, 3/8, 3/16,...

lara [203]

$\frac{3}{2};\ \frac{3}{4};\ \frac{3}{8};\ \frac{3}{16};\ ...\\\\a_1=\frac{3}{2}\\\\a_2=\frac{3}{4}=\frac{3}{2}\cdot\frac{1}{2}\\\\a_3=\frac{3}{8}=\frac{3}{4}\cdot\frac{1}{2}=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^2\\\\a_4=\frac{3}{16}=\frac{3}{8}\cdot\frac{1}{2}=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^3\\\vdots$
$a_n=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^{n-1}=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^{-1}\cdot\left(\frac{1}{2}\right)^n=\frac{3}{2}\cdot2\cdot\left(\frac{1}{2}\right)^n=3\cdot\left(\frac{1}{2}\right)^n$

7 0

2 years ago

1/2(15)(13+17) Whats the answer?

lidiya [134]

1/2(15)(13+17)

15/2(13+17)

15/2(30)

= 225

I hoe that's help.

8 0

2 years ago

I don't understand this )):

True [87]

Maybe you should contact your teacher

3 0

3 years ago

−0.85 – (−1.9) +– 2.06

sveticcg [70]

Answer:

−1.01

Step-by-step explanation:

Simplify the expression!

7 0

2 years ago

Read 2 more answers

Evaluate 6x - 3, when x = 2 14

Rudiy27

Answer:

6x214=1284

1284-3 is 1281

Step-by-step explanation:

7 0

2 years ago