Divide (b^3*(8b)+8)÷(b-2)

Math
(b3⋅(8b)+8)÷(b-2)
Expand b3⋅(8b)+8.
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Remove parentheses.
b3⋅(8b)+8b-2
Reorder b3 and 8.
8b3b+8b-2
Add 3 and 1.
8b4+8b-2
8b4+8b-2
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
b28b4+0b3+0b2+0b+8
Divide the highest order term in the dividend 8b4 by the highest order term in divisor b.
8b3
b28b4+0b3+0b2+0b+8
Multiply the new quotient term by the divisor.
8b3
b28b4+0b3+0b2+0b+8
+8b416b3
The expression needs to be subtracted from the dividend, so change all the signs in 8b4-16b3
8b3
b28b4+0b3+0b2+0b+8
8b4+16b3
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
8b3
b28b4+0b3+0b2+0b+8
8b4+16b3
+16b3
Pull the next terms from the original dividend down into the current dividend.
8b3
b28b4+0b3+0b2+0b+8
8b4+16b3
+16b3+0b2
Divide the highest order term in the dividend 16b3 by the highest order term in divisor b.
8b3+16b2
b28b4+0b3+0b2+0b+8
8b4+16b3
+16b3+0b2
Multiply the new quotient term by the divisor.
8b3+16b2
b28b4+0b3+0b2+0b+8
8b4+16b3
+16b3+0b2
+16b332b2
The expression needs to be subtracted from the dividend, so change all the signs in 16b3-32b2
8b3+16b2
b28b4+0b3+0b2+0b+8
8b4+16b3
+16b3+0b2
16b3+32b2
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
8b3+16b2
b28b4+0b3+0b2+0b+8
8b4+16b3
+16b3+0b2
16b3+32b2
+32b2
Pull the next terms from the original dividend down into the current dividend.
8b3+16b2
b28b4+0b3+0b2+0b+8
8b4+16b3
+16b3+0b2
16b3+32b2
+32b2+0b
Divide the highest order term in the dividend 32b2 by the highest order term in divisor b.
8b3+16b2+32b
b28b4+0b3+0b2+0b+8
8b4+16b3
+16b3+0b2
16b3+32b2
+32b2+0b
Multiply the new quotient term by the divisor.
8b3+16b2+32b
b28b4+0b3+0b2+0b+8
8b4+16b3
+16b3+0b2
16b3+32b2
+32b2+0b
+32b264b
The expression needs to be subtracted from the dividend, so change all the signs in 32b2-64b
8b3+16b2+32b
b28b4+0b3+0b2+0b+8
8b4+16b3
+16b3+0b2
16b3+32b2
+32b2+0b
32b2+64b
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
8b3+16b2+32b
b28b4+0b3+0b2+0b+8
8b4+16b3
+16b3+0b2
16b3+32b2
+32b2+0b
32b2+64b
+64b
Pull the next terms from the original dividend down into the current dividend.
8b3+16b2+32b
b28b4+0b3+0b2+0b+8
8b4+16b3
+16b3+0b2
16b3+32b2
+32b2+0b
32b2+64b
+64b+8
Divide the highest order term in the dividend 64b by the highest order term in divisor b.
8b3+16b2+32b+64
b28b4+0b3+0b2+0b+8
8b4+16b3
+16b3+0b2
16b3+32b2
+32b2+0b
32b2+64b
+64b+8
Multiply the new quotient term by the divisor.
8b3+16b2+32b+64
b28b4+0b3+0b2+0b+8
8b4+16b3
+16b3+0b2
16b3+32b2
+32b2+0b
32b2+64b
+64b+8
+64b128
The expression needs to be subtracted from the dividend, so change all the signs in 64b-128
8b3+16b2+32b+64
b28b4+0b3+0b2+0b+8
8b4+16b3
+16b3+0b2
16b3+32b2
+32b2+0b
32b2+64b
+64b+8
64b+128
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
8b3+16b2+32b+64
b28b4+0b3+0b2+0b+8
8b4+16b3
+16b3+0b2
16b3+32b2
+32b2+0b
32b2+64b
+64b+8
64b+128
+136
The final answer is the quotient plus the remainder over the divisor.
8b3+16b2+32b+64+136b-2
Divide (b^3*(8b)+8)÷(b-2)

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