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If y2 = y + 7, then what is the value of y3?
  • a)
    8y + 7
  • b)
    y + 14
  • c)
    y + 2
  • d)
    4y + 7
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If y2= y + 7, then what is the value of y3?a)8y + 7b)y + 14c)y + 2d)4y...
Given: y^2 = y - 7

To find: The value of y^3

Solution:
To find the value of y^3, we need to multiply y^2 by y.

y^2 * y = (y - 7) * y

Expanding the equation:

y^3 = y * y - 7 * y

Simplifying further:

y^3 = y^2 - 7y

But we already know that y^2 = y - 7.

Substituting this value into the equation:

y^3 = (y - 7) - 7y

Simplifying again:

y^3 = y - 7 - 7y

Combining like terms:

y^3 = -6y - 7

Therefore, the value of y^3 is -6y - 7.

Answer:
The correct option is (A) 8y - 7.
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Community Answer
If y2= y + 7, then what is the value of y3?a)8y + 7b)y + 14c)y + 2d)4y...
Given y2 = y + 7
Multiplying LHS and RHS by y
⇒ y3 = y2 + 7y
∴ y3 = y + 7 + 7y = 8y + 7 [∵ y2 = y + 7]
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