Question

simplify...!!
$ab(a {}^{2} - b {}^{2} ) + b {}^{3} (a - 2b$
​

Answer 1

Step-by-step explanation:

Correct option is

C

a

2

b

2

+b

2

c

2

Given, (ab+bc)

2

−2ab

2

c.

We know,

(a+b)

2

=a

2

+2ab+b

2

.

Then,

(ab+bc)

2

−2ab

2

c

=(ab)

2

+2(ab)(bc)+(bc)

2

−2ab

2

c

=a

2

b

2

+2ab

2

c+b

2

c

2

−2ab

2

c

=a

2

b

2

+b

2

c

2

.

Therefore, option C is correct.