$x(7x - 5) + 3(x^2 - 2) + 14$
Simplify Algebraic Expression
The goal is to simplify the expression $x(7x - 5) + 3(x^2 - 2) + 14$. This involves using the distributive property and combining like terms.
Step 1: Distribute Terms
Apply the distributive property to the first two parts of the expression:
- $x(7x - 5) = x \times 7x - x \times 5 = 7x^2 - 5x$
- $3(x^2 - 2) = 3 \times x^2 - 3 \times 2 = 3x^2 - 6$
The expression now becomes: $(7x^2 - 5x) + (3x^2 - 6) + 14$.
Step 2: Combine Like Terms
Group terms with the same power of $x$ together:
- Combine the $x^2$ terms: $7x^2 + 3x^2 = 10x^2$
- Combine the $x$ terms: $-5x$ (there's only one term)
- Combine the constant terms: $-6 + 14 = 8$
Step 3: Final Simplified Expression
Combine the results from Step 2 to get the final simplified expression:
$10x^2 - 5x + 8$
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Important Questions from Simplification
What will come in the place of the question mark ‘?’ in the following question?
(15 + 24) × 3 ÷ 13 + 18 – 5 = ?
What should come in place of the question mark '?' in the following question?
\n13 × 3 of 5 ÷ 26 = ? + 2.5What should come in place of the question mark '?' in the following question?
10% of 450 - (8 × 5) = ? × 5
What will come in the place of the question mark ‘?’ in the following question?
(66)2 - (34)2 + ?2 = (60)2
What will come in the place of the question mark ‘?’ in the following question?
3 × ? ÷ 9 = ∛729 × √121
