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(3y-4)(2y+7)+11y-9

2 min read Jun 16, 2024
(3y-4)(2y+7)+11y-9

Simplifying the Expression (3y-4)(2y+7)+11y-9

This article will guide you through the process of simplifying the expression (3y-4)(2y+7)+11y-9.

Understanding the Expression

The expression consists of two main parts:

  • (3y-4)(2y+7): This is a product of two binomials.
  • 11y-9: This is a simple binomial.

Expanding the Product

To simplify the expression, we first need to expand the product of the binomials. We can do this using the FOIL method:

  • First: Multiply the first terms of each binomial: (3y)(2y) = 6y²
  • Outer: Multiply the outer terms of the binomials: (3y)(7) = 21y
  • Inner: Multiply the inner terms of the binomials: (-4)(2y) = -8y
  • Last: Multiply the last terms of the binomials: (-4)(7) = -28

Combining the results, we get: (3y-4)(2y+7) = 6y² + 21y - 8y - 28

Combining Like Terms

Now, we can combine the like terms in the entire expression:

6y² + 21y - 8y - 28 + 11y - 9

This simplifies to: 6y² + 34y - 37

Final Result

The simplified form of the expression (3y-4)(2y+7)+11y-9 is 6y² + 34y - 37.

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