-4
To simplify the expression (\frac{3 \sqrt{t^4}}{6 \sqrt{t^4}}), first note that (\sqrt{t^4} = t^2). This allows us to rewrite the expression as (\frac{3t^2}{6t^2}). Since (t^2) is common in both the numerator and denominator, it cancels out, resulting in (\frac{3}{6}), which simplifies to (\frac{1}{2}). Thus, the final simplified expression is (\frac{1}{2}).
To simplify the expression ( 7w + 6 - 10w - 2 ), combine like terms. First, combine the ( w ) terms: ( 7w - 10w = -3w ). Next, combine the constant terms: ( 6 - 2 = 4 ). The simplified expression is ( -3w + 4 ).
To simplify the expression ( 2 - (8x)(-4) - 3(x \cdot 6) ), first calculate ( (8x)(-4) = -32x ) and ( 3(x \cdot 6) = 18x ). Substituting these back into the expression gives ( 2 + 32x - 18x ). Combining the terms results in ( 2 + 14x ). Thus, the equivalent expression is ( 14x + 2 ).
To simplify the expression -6(2y - 4), distribute -6 to both terms inside the parentheses: -6 * 2y = -12y and -6 * -4 = 24. Therefore, the simplified expression is -12y + 24.
To find the constant in the expression (8x + 3y - 2x + 6 - 4), first simplify it. Combine like terms: (8x - 2x = 6x) and (3y) remains as is. The constant terms are (6 - 4), which equals (2). Therefore, the constant in the expression is (2).
To simplify the expression (\frac{3\sqrt{t^4}}{6\sqrt{t^4}}), first simplify the coefficients and the square roots. The coefficients (\frac{3}{6}) simplify to (\frac{1}{2}). Since (\sqrt{t^4} = t^2), you can rewrite the expression as (\frac{1}{2} \cdot \frac{t^2}{t^2}). Since (\frac{t^2}{t^2} = 1), the final simplified expression is (\frac{1}{2}).
To find the value of the expression 4 - 5 + 6 - 7 - (-4), we can simplify it step by step: First, let's simplify the expression within the parentheses (-4): -(-4) is equivalent to adding 4, so -(-4) becomes +4. Therefore, the expression becomes: 4 - 5 + 6 - 7 + 4. Next, let's perform the addition and subtraction from left to right: 4 - 5 = -1 -1 + 6 = 5 5 - 7 = -2 -2 + 4 = 2. Therefore, the value of the expression 4 - 5 + 6 - 7 - (-4) is 2.
To simplify the expression (\frac{3 \sqrt{t^4}}{6 \sqrt{t^4}}), first note that (\sqrt{t^4} = t^2). This allows us to rewrite the expression as (\frac{3t^2}{6t^2}). Since (t^2) is common in both the numerator and denominator, it cancels out, resulting in (\frac{3}{6}), which simplifies to (\frac{1}{2}). Thus, the final simplified expression is (\frac{1}{2}).
To simplify the expression ( 7w + 6 - 10w - 2 ), combine like terms. First, combine the ( w ) terms: ( 7w - 10w = -3w ). Next, combine the constant terms: ( 6 - 2 = 4 ). The simplified expression is ( -3w + 4 ).
To simplify the expression ( 2 - (8x)(-4) - 3(x \cdot 6) ), first calculate ( (8x)(-4) = -32x ) and ( 3(x \cdot 6) = 18x ). Substituting these back into the expression gives ( 2 + 32x - 18x ). Combining the terms results in ( 2 + 14x ). Thus, the equivalent expression is ( 14x + 2 ).
Assume the expression is:4/(x + 2) + 6/(x + 5)Simplify this expression by combining the expressions altogether. Let's go step by step.Step 1: Determine the LCD of the expression.The LCD of the expression is (x + 2)(x + 5). Multiply the top and bottom of each fractional expression by whatever factor the denominator is missing!4/(x + 2) * (x + 5)/(x + 5) + 6/(x + 5) * (x + 2)/(x + 2)Step 2: Combine the expression and simplify.(4(x + 5) + 6(x + 2))/((x + 2)(x + 5))= (4x + 20 + 6x + 12)/((x + 2)(x + 5))= (10x + 32)/((x + 2)(x + 5))
To simplify the expression -6(2y - 4), distribute -6 to both terms inside the parentheses: -6 * 2y = -12y and -6 * -4 = 24. Therefore, the simplified expression is -12y + 24.
To find the constant in the expression (8x + 3y - 2x + 6 - 4), first simplify it. Combine like terms: (8x - 2x = 6x) and (3y) remains as is. The constant terms are (6 - 4), which equals (2). Therefore, the constant in the expression is (2).
To simplify the expression (3 \times 6(w + 4) \times w), first multiply (3) and (6) to get (18). Then, distribute (w) inside the parentheses: (18(w + 4)w = 18(w^2 + 4w)). Thus, the simplified expression is (18w^2 + 72w).
Multiply the entire expression by a least common multiple and then simplify the expression. In this case, the least common multiple is 30 so multiply the entire expression by 30 and simplify.
To simplify the expression (4x + 6x), you combine like terms by adding the coefficients of (x). This gives you (4 + 6 = 10), so the simplified expression is (10x).
First, let's simplify the expression step by step. The original expression is ( 3(4 - 2) - 2(m + 5) ). Calculating inside the parentheses gives ( 3(2) - 2(m + 5) ), which simplifies to ( 6 - 2m - 10 ). Finally, combining like terms results in the equivalent expression ( -2m - 4 ).