Simplify (3x-7)(3x-5)

Problem

(3*x−7)*(3*x−5)

Solution

1. Identify the expression as a product of two binomials that can be expanded using the FOIL method (First, Outer, Inner, Last).

2. Multiply the First terms:

(3*x)*(3*x)=9*x2

3. Multiply the Outer terms:

(3*x)*(−5)=−15*x

4. Multiply the Inner terms:

(−7)*(3*x)=−21*x

5. Multiply the Last terms:

(−7)*(−5)=35

6. Combine all the terms into a single expression:

9*x2−15*x−21*x+35

7. Simplify by combining the like terms −15*x and −21*x

−15*x−21*x=−36*x

Final Answer

(3*x−7)*(3*x−5)=9*x2−36*x+35

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