QuestionAugust 25, 2025

Perform the indicated operation. (0.713x^2-4.462x+0.764)-0.78(3x^2-2x+7)

Perform the indicated operation. (0.713x^2-4.462x+0.764)-0.78(3x^2-2x+7)
Perform the indicated operation. (0.713x^2-4.462x+0.764)-0.78(3x^2-2x+7)

Solution
3.1(144 votes)

Answer

-1.627x^2 - 2.902x - 4.696 Explanation 1. Distribute the constant Multiply 0.78 by each term inside the parentheses: 0.78 \times 3x^2, 0.78 \times (-2x), and 0.78 \times 7. 2. Simplify the expression Calculate: 0.78 \times 3x^2 = 2.34x^2, 0.78 \times (-2x) = -1.56x, 0.78 \times 7 = 5.46. Subtract these results from the original polynomial: (0.713x^{2}-4.462x+0.764) - (2.34x^2 - 1.56x + 5.46). 3. Combine like terms Combine 0.713x^2 - 2.34x^2, -4.462x + 1.56x, and 0.764 - 5.46.

Explanation

1. Distribute the constant<br /> Multiply $0.78$ by each term inside the parentheses: $0.78 \times 3x^2$, $0.78 \times (-2x)$, and $0.78 \times 7$.<br />2. Simplify the expression<br /> Calculate: $0.78 \times 3x^2 = 2.34x^2$, $0.78 \times (-2x) = -1.56x$, $0.78 \times 7 = 5.46$. <br /> Subtract these results from the original polynomial: $(0.713x^{2}-4.462x+0.764) - (2.34x^2 - 1.56x + 5.46)$.<br />3. Combine like terms<br /> Combine $0.713x^2 - 2.34x^2$, $-4.462x + 1.56x$, and $0.764 - 5.46$.
Click to rate:

Similar Questions