Easy Algebra Step-by-Step

Simplifying Polynomial Expressions 107

Step 2. Simplify the result.

= 25 a−

Step 3. Review the main steps.

522 ()−− 55 ) 5555 ++ 212 a 1002 a− 5

b. − 3 ()yy++ 44 )++ 88

Step 1. Do multiplication: − 3 ()y+ 4.

−3(y4+ )8+ y

=− 31 y− 2 + 8 y

Step 2. Simplify the result.

=− 5 y 12

Step 3. Review the main steps.

− (^3) (()++ )++ 883 y=− yy− 1212 ++ 885 = y− 12
c. 9 xy xy() 3333 yyy− 5 x 22 x^2
Step 1. Do multiplication: −x()( −.
92 xy xy(3 5)x 2 x^2
= 92 xy− 35 xy+ x^2 − x^2
Step 2. Simplify the result.
= 36 xx^2 ++ 6 y
Step 3. Review the main steps.
9 xy x() 333 yy− 5 x 222 xx^22 = 9393 xy 33 xyxy+ 525 xx 22 x^22 = 336 xx 6 y
d. ()))(()( +()(^2
Step 1. Do the power: ()x−^2.
() 21 x 1 () 343 x +()xx− 12
=()− )()( − +−xx^2 − 22 + 1
5 + 2(a − 5) ≠ 7(a − 5). Do multiplication
before addition, if no parentheses indicate
otherwise.