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Pavel [41]
2 years ago
7

Expand and simplify (2x−12) ^2

Mathematics
1 answer:
lubasha [3.4K]2 years ago
4 0

Answer:

\boxed{4x^{2}  - 48x + 144}

Step-by-step explanation:

Given expression:

  • (2x - 12)²

To simplify the expression, we will use the formula (a - b)² = a² - 2ab + b².

[Where "a and b" are the first and second term in (a - b)²]

\rightarrowtail (2x - 12)^{2}

In this case, the first term of (2x - 12)² is "2x" and the second term is "12".

\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2} \ \ \ \ \ \ \ \ \ \ \ \ \ \  [\small\text{First term = a = 2x; Second term = b = 12]}

Now, simplify the expression.

\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2}

\rightarrowtail (2x)(2x) - (4x)(12) + (12)(12)

\rightarrowtail \boxed{4x^{2}  - 48x + 144}

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