Which of the following are the factors of 4b2 − 16?

Step-by-step explanation:

We have been given an expression and we are asked to find the factors of our given expression.

First of all we will factor out 4 from our given expression.

We can see that is difference of squares, so we can factor it using difference of squares formula: .

Therefore, the factored form of our given expression is .

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb

its c