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38 votes
38 votes
Help please







simplify (5x-3)^2

User Davood Beheshti
by
2.3k points

2 Answers

24 votes
24 votes

Answer:

  • 25x² - 30x + 9

Explanation:

The identity

  • (a - b)² = a² - 2ab + b²

In this case, a = 5x and b = 3, so substituting the values :

  • (5x - 3)²
  • (5x)² - 2(5x)(3) + (3)²
  • 25x² - 30x + 9
User AlekseyS
by
2.7k points
18 votes
18 votes

Answer:


\Longrightarrow: \boxed{\sf{25x^2-30x+9}}

Explanation:

Isolate the term of x from one side of the equation.

Use the perfect square formula.


\underline{\text{PERFECT SQUARE FORMULA:}}


\Longrightarrow: \sf{(A-B)^2=A^2-2AB+B^2}

(5x-3)²

(5x-3)²= (5x)²-2*5x*3+3²

Solve.


\sf{(5x)^2-2*5x*3+3^2=\boxed{\sf{25x^2-30x+9}}}

  • Therefore, the final answer is 25x²-30x+9.
User Paul Klint
by
2.8k points