Which of the equations are true identities? A. (y+6)(y-7)+42=y^(2)-y B. (x+3)(x-8)=x^(2)-5x Choose 1 answer: (A) Only A (B) Only B (C) Both A and B (D) Neither A nor B

Expand Expression: Expand (y+6)(y-7) using the distributive property (FOIL method). (y+6)(y-7) = y^2 - 7y + 6y - 42Combine Like Terms: Combine like terms in the expansion. y^2 - 7y + 6y - 42 = y^2 - y - 42Add 42: Add 42 to both sides of the equation from the original problem. y^2 - y - 42 + 42 = y^2 - yCheck Equation: Check if the left side of equation A is equal to the right side after simplification. y^2 - y = y^2 - yExpand Expression: Expand (x+3)(x-8) using the distributive property (FOIL method). (x+3)(x-8) = x^2 - 8x + 3x - 24Combine Like Terms: Combine like terms in the expansion. x^2 - 8x + 3x - 24 = x^2 - 5x - 24

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Which of the equations are true identities?
A.
(y+6)(y-7)+42=y^(2)-y
B.
(x+3)(x-8)=x^(2)-5x
Choose 1 answer:
(A) Only A
(B) Only B
(C) Both A and B
(D) Neither
A nor
B

Which of the equations are true identities? $\newline$ A. $(y+6)(y-7)+42=y^{2}-y$ $\newline$ B. $(x+3)(x-8)=x^{2}-5 x$ $\newline$ Choose $1$ answer: $\newline$ (A) Only A $\newline$ (B) Only B $\newline$ (C) Both A and B $\newline$ (D) Neither $\mathrm{A}$ nor $\mathrm{B}$

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Calculus

Find derivatives of using multiple formulae

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Q. Which of the equations are true identities?

\newline

(y+6)(y-7)+42=y^{2}-y

\newline

(x+3)(x-8)=x^{2}-5 x

\newline

Choose

1

answer:

\newline

(A) Only A

\newline

(B) Only B

\newline

\newline

(D) Neither

\mathrm{A}

nor

\mathrm{B}

Expand Expression: Expand $(y+6)(y-7)$ using the distributive property (FOIL method). $\newline$ $(y+6)(y-7) = y^2 - 7y + 6y - 42$
Combine Like Terms: Combine like terms in the expansion. $y^2 - 7y + 6y - 42 = y^2 - y - 42$
Add $42$ : Add $42$ to both sides of the equation from the original problem. $\newline$ $y^2 - y - 42 + 42 = y^2 - y$
Check Equation: Check if the left side of equation A is equal to the right side after simplification. $y^2 - y = y^2 - y$
Expand Expression: Expand $(x+3)(x-8)$ using the distributive property (FOIL method). $\newline$ $(x+3)(x-8) = x^2 - 8x + 3x - 24$
Combine Like Terms: Combine like terms in the expansion. $x^2 - 8x + 3x - 24 = x^2 - 5x - 24$