Problem 95
Question
Simplify each algebraic expression. $$18 x^{2}+4-\left[6\left(x^{2}-2\right)+5\right]$$
Step-by-Step Solution
Verified Answer
The simplified expression is \(12x^{2} + 11\).
1Step 1: Distribution of -6
Distribute the -6 to each term inside the parentheses. This means to multiply -6 by each term inside the parentheses. The resulting expression is \(18x^{2} + 4 -[6x^{2} - 12 + 5]\)
2Step 2: Simplify the expression
Remove the brackets, perform the indicated operations and simplify the resulting expression, to arrive at \(18x^{2} + 4 - 6x^{2} + 12 - 5\)
3Step 3: Combining like terms
Combine all the like terms (similar variables or constants). The expression simplifies to \(12x^{2} + 11\)
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Problem 95
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