(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.