Solve using synthetic divsion
list steps and explain answer.
(10r^(3)-22r^(2)-17r-21)-:(r-3)

10r² + 8r + 7

Step-by-step explanation:

(10r³-22r²-17r-21)/(r-3)

(10r³-30r²+8r²-24r+7r-21)/(r-3)

[10r²(r-3) + 8r(r-3) + 7(r-3)]/(r-3)

10r² + 8r + 7

Associative property and commutative property true for addition, not true for subtraction.

Step-by-step explanation:

Associative property and commutative property true for addition.

i) a + (b + c) = (a + b) + c  ---> Associative property of addition

ii) a + b = b + a --> commutative property of addition.

These properties not true for subtraction.

That's the reason Juan used additive inverse before applying these property.

Hope this will helpful.

Thank you.