Question

show that ( 4ab + 3b )² - ( 4ab - 3b )² = 48ab²​

Answer 1

Answer:

96ab

Step-by-step explanation:

Given, (4a+3b)

2

−(4a−3b)

2

+48ab.

We know, (a+b)

2

=a

2

+2ab+b

2

and (a−b)

2

=a

2

−2ab+b

2

.

Then,

(4a+3b)

2

−(4a−3b)

2

+48ab

=((4a)

2

+2(4a)(3b)+(3b)

2

)−((4a)

2

−2(4a)(3b)+(3b)

2

)+48ab

=(4a)

2

+2(4a)(3b)+(3b)

2

−(4a)

2

+2(4a)(3b)−(3b)

2

+48ab

=24ab+24ab+48ab

=48ab+48ab

=.96ab