IDNLearn.com offers a comprehensive solution for all your question and answer needs. Ask anything and receive comprehensive, well-informed responses from our dedicated team of experts.
Sagot :
To evaluate the expression [tex]\(4(5x - 3 - 2x)^2\)[/tex] where [tex]\(x = 5\)[/tex], follow these detailed steps:
1. Substitute the value of [tex]\(x\)[/tex]:
Substitute [tex]\(x = 5\)[/tex] into the expression.
[tex]\[ 4(5(5) - 3 - 2(5))^2 \][/tex]
2. Evaluate the terms inside the parentheses:
First, calculate [tex]\(5x\)[/tex] and [tex]\(2x\)[/tex]:
[tex]\[ 5 \cdot 5 = 25 \][/tex]
[tex]\[ 2 \cdot 5 = 10 \][/tex]
Now, substitute these values back into the expression:
[tex]\[ 4(25 - 3 - 10)^2 \][/tex]
3. Simplify the inner expression:
Perform the subtraction inside the parentheses:
[tex]\[ 25 - 3 = 22 \][/tex]
[tex]\[ 22 - 10 = 12 \][/tex]
So now the expression is:
[tex]\[ 4(12)^2 \][/tex]
4. Square the inner result:
Calculate [tex]\(12^2\)[/tex]:
[tex]\[ 12^2 = 144 \][/tex]
5. Multiply by 4:
Finally, multiply the squared result by 4:
[tex]\[ 4 \cdot 144 = 576 \][/tex]
Thus, the evaluated result of the expression [tex]\(4(5x - 3 - 2x)^2\)[/tex] when [tex]\(x = 5\)[/tex] is [tex]\(\boxed{576}\)[/tex].
1. Substitute the value of [tex]\(x\)[/tex]:
Substitute [tex]\(x = 5\)[/tex] into the expression.
[tex]\[ 4(5(5) - 3 - 2(5))^2 \][/tex]
2. Evaluate the terms inside the parentheses:
First, calculate [tex]\(5x\)[/tex] and [tex]\(2x\)[/tex]:
[tex]\[ 5 \cdot 5 = 25 \][/tex]
[tex]\[ 2 \cdot 5 = 10 \][/tex]
Now, substitute these values back into the expression:
[tex]\[ 4(25 - 3 - 10)^2 \][/tex]
3. Simplify the inner expression:
Perform the subtraction inside the parentheses:
[tex]\[ 25 - 3 = 22 \][/tex]
[tex]\[ 22 - 10 = 12 \][/tex]
So now the expression is:
[tex]\[ 4(12)^2 \][/tex]
4. Square the inner result:
Calculate [tex]\(12^2\)[/tex]:
[tex]\[ 12^2 = 144 \][/tex]
5. Multiply by 4:
Finally, multiply the squared result by 4:
[tex]\[ 4 \cdot 144 = 576 \][/tex]
Thus, the evaluated result of the expression [tex]\(4(5x - 3 - 2x)^2\)[/tex] when [tex]\(x = 5\)[/tex] is [tex]\(\boxed{576}\)[/tex].
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Discover the answers you need at IDNLearn.com. Thanks for visiting, and come back soon for more valuable insights.