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Simplify the expression:

[tex]\[ 5\left(x^2 - 1\right) - 5x^2 + x + 5 + \sqrt{100} + 2^2 \][/tex]

Sagot :

GinnyAnsweridn
To solve the given expression, we will simplify it step-by-step.

The expression is:

[tex]\[5(x^2 - 1) - 5x^2 + x + 5 + \sqrt{100} + 2^2\][/tex]

First, let's simplify the square root and the exponentiation within the expression:

[tex]\[\sqrt{100} = 10\][/tex]
[tex]\[2^2 = 4\][/tex]

So the expression becomes:

[tex]\[5(x^2 - 1) - 5x^2 + x + 5 + 10 + 4\][/tex]

Now, let's distribute the 5 in the first term:

[tex]\[5(x^2 - 1) = 5x^2 - 5\][/tex]

Substituting this into the expression, we get:

[tex]\[5x^2 - 5 - 5x^2 + x + 5 + 10 + 4\][/tex]

Now, combine like terms. Combine all the constants together:

[tex]\[-5 + 5 + 10 + 4 = 14\][/tex]

So the expression simplifies to:

[tex]\[5x^2 - 5x^2 + x + 14\][/tex]

Notice that [tex]\(5x^2 - 5x^2\)[/tex] cancels out, leaving us with:

[tex]\[x + 14\][/tex]

Thus, the simplified form of the expression is:

[tex]\[x + 14\][/tex]
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