2 min read Jun 17, 2024

Understanding (y-7)^2

(y-7)^2 is a mathematical expression that represents the square of the binomial (y-7). In other words, it means multiplying the binomial by itself:

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

To simplify this expression, we can use the FOIL method (First, Outer, Inner, Last):

  • First: y * y = y^2
  • Outer: y * -7 = -7y
  • Inner: -7 * y = -7y
  • Last: -7 * -7 = 49

Adding all these terms together, we get:

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

Finally, combining like terms, we get the simplified expression:

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

Key Points:

  • Squaring a binomial means multiplying it by itself.
  • FOIL method is a helpful tool for multiplying binomials.
  • Simplifying the expression involves combining like terms.


Understanding how to expand and simplify expressions like (y-7)^2 is crucial in various areas of mathematics, including:

  • Algebra: Solving equations and inequalities.
  • Calculus: Finding derivatives and integrals.
  • Geometry: Calculating areas and volumes.

By mastering the concept of squaring binomials, you'll be able to tackle more complex mathematical problems and gain a deeper understanding of mathematical concepts.

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