Question

(7y + 1)^2 -(y + 7)^2 - 48(y -1)(y + 1).​

Answer 1

(7y + 1)² – (y + 7)² – 48(y -1)(y + 1)= (49у²+14у+1) – (у²+14у+49) – 48(у²–1)= 49у²+14у+1–у²–14у–49–48у²+48= 1–49+48= 0.

ОТВЕТ: 0.

Answer 2

Ответ:

0

Объяснение:

49y^2+14y+1-(y^2+14y+49)-48(y^2-1)

49y^2+14y+1-y^2-14y-49-49y^2+48

0+0=0

Answer 3

To simplify the expression (7y + 1)^2 - (y + 7)^2 - 48(y - 1)(y + 1), we'll use the difference of squares identity, which states that (a^2 - b^2) can be factored as (a + b)(a - b). Let's proceed step by step:

Step 1: Expand the squared terms. (7y + 1)^2 = (7y + 1)(7y + 1) = 49y^2 + 14y + 1

(y + 7)^2 = (y + 7)(y + 7) = y^2 + 14y + 49

Step 2: Apply the difference of squares identity to the first two terms. (49y^2 + 14y + 1) - (y^2 + 14y + 49)

Step 3: Expand the last term.

• 48(y - 1)(y + 1) = - 48(y^2 + y - y - 1)

Step 4: Combine like terms. (49y^2 + 14y + 1) - (y^2 + 14y + 49) - 48(y^2 - 1)

Step 5: Distribute the negative sign in the last term. (49y^2 + 14y + 1) - (y^2 + 14y + 49) - 48y^2 + 48

Step 6: Now, combine like terms again. 49y^2 + 14y + 1 - y^2 - 14y - 49 - 48y^2 + 48

Step 7: Simplify by combining all the y^2 terms, y terms, and constant terms. (49y^2 - y^2 - 48y^2) + (14y - 14y) + (1 - 49 + 48)

Step 8: Simplify further. (0) + (0) + (0)

Step 9: The final answer is 0. So, the simplified expression is 0.