Question

(20a - 16a+b + 4b2) by 4a²b² divide ​

Answer 1

Answer:

STEP1:Equation at the end of step 1

((20•(a2))-10a) 1 ((———————————————•x)•x)•———————————————————— (a-1) ((16•(a3))-(24•5a2))

STEP 2 :

Equation at the end of step2:

((20•(a2))-10a) 1 ((———————————————•x)•x)•——————————————— (a-1) (24a3-(24•5a2))

STEP3:

1 Simplify ——————————— 16a3 - 80a2

STEP4:Pulling out like terms

 4.1     Pull out like factors :

   16a3 - 80a2  =   16a2 • (a - 5) 

Equation at the end of step4:

((20•(a2))-10a) 1 ((———————————————•x)•x)•—————————— (a-1) 16a2•(a-5)

STEP 5 :

Equation at the end of step5:

((22•5a2)-10a) 1 ((——————————————•x)•x)•—————————— (a-1) 16a2•(a-5)

STEP6:

20a2 - 10a Simplify —————————— a - 1

STEP7:Pulling out like terms

 7.1     Pull out like factors :

   20a2 - 10a  =   10a • (2a - 1) 

Polynomial Long Division :

 7.2    Polynomial Long Division

Dividing :  2a - 1 

                              ("Dividend")

By         :    a - 1    ("Divisor")

dividend  2a - 1 - divisor * 2a0   2a - 2 remainder    1 

Quotient :  2 

Remainder :  1 

Equation at the end of step7:

10a•(2a-1) 1 ((——————————•x)•x)•—————————— a-1 16a2•(a-5)

STEP8:Equation at the end of step 8

10ax • (2a - 1) 1 (——————————————— • x) • —————————————— a - 1 16a2 • (a - 5)

STEP9:

Multiplying exponential expressions :

 9.1    x1 multiplied by x1 = x(1 + 1) = x2

Equation at the end of step9:

10ax2 • (2a - 1) 1 ———————————————— • —————————————— a - 1 16a2 • (a - 5)

STEP10:

Dividing exponential expressions :

 10.1    a1 divided by a2 = a(1 - 2) = a(-1) = 1/a1 = 1/a

Final result :

5x2 • (2a - 1) —————————————————————— 8a • (a - 1) • (a - 5)

Answer 2

Answer:

. y = -2b , z = -3c = (4a)2 + (–2b)2 + (–3c)2 + 2(4a)(–2b) + 2(–2b)(–3c) + 2(–3c)(4a) = 16a2 + 4b2 + 9c2 –