(4x-3y)2 Simplify the expression above. Which of the following is correct?

A. 16x2 + 9y2

B. 16x2-9y2

C. 16x2 -24xy -9y2

D. 16x2 -24xy+9y2

( a - b ) ^ 2 = a ^ 2 - 2 * a * b + b ^ 2

(4 x - 3 y ) ^ 2 =

(4 x ) ^ 2 - 2 * 4 x * 3 y + ( 3 y ) ^ 2 =

16 x ^ 2 - 24 x y + 9 y ^ 2

Dear Roberta,

the answer should be D
recall the identity
(a-b)^2
= a^2 - 2ab + b^2

Hope it helps
Wishing you the best of luck
barry

To simplify the expression (4x-3y)2, we need to expand the expression using the distributive property of exponents.

(4x-3y)2 = (4x-3y)(4x-3y) = (4x)(4x) + (4x)(-3y) + (-3y)(4x) + (-3y)(-3y)

Simplifying this expression, we get:
16x^2 - 12xy - 12xy + 9y^2

Combining like terms, we have:
16x^2 - 24xy + 9y^2

Therefore, the correct answer is option D. 16x^2 - 24xy + 9y^2.

To simplify the expression (4x - 3y)^2, we need to expand the squared expression by multiplying each term inside the parentheses by itself and then simplify.

(4x - 3y)^2 = (4x - 3y)(4x - 3y)

To expand the expression, we use the distributive property:

= 4x(4x - 3y) - 3y(4x - 3y)

Now, multiply each term:

= 16x^2 - 12xy - 12xy + 9y^2

Combine like terms:

= 16x^2 - 24xy + 9y^2

Therefore, the correct option is D. 16x^2 - 24xy + 9y^2.