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Simplify (a^2+b^2)(c^2+d^2)
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Solution:
Step 1:
Utilize the distributive law to expand the expression: $a^2(c^2 + d^2)… |
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Simplify (5x^4y^4z^0)^0
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Solution:
Step 1
Recognize that any expression raised to the power of $0$ is equal to $1$… |
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Evaluate 1/2(1-0.82)
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Solution:
Calculation Process
Step 1:
First, we need to perform the subtraction ins… |
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Simplify (6*10^5)^2
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Solution:
Step 1:
Utilize the power of a product rule on $6 \times 10^{5}$. Write it as … |
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Simplify ( square root of 40-2 square root of 5)/…
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Solution:
Step 1: Simplify the numerator.
- **Step 1.1**: Express $40$ as the product of… |
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Find the Product x(x+3)
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Solution:
Step 1:
Utilize the distributive property to expand the expression: $x \times x… |
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Find the Holes in the Graph f(x)=(2x^2-2)/(x^2-4x…
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Solution:
Step:1
Extract the common factor from the numerator $2x^2 - 2$.
Step:1.1
T… |
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Solve the Inequality for x (3-x)(x+1)(x+5)>0
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Solution:
Step 1
Identify the roots of the inequality by setting each factor to zero:
- $… |
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Simplify 7x square root of 98x^2-x^2 square root …
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Solution:
Simplification Process
Step:1
Break down each mathematical expression.
Step:1… |
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Find the x and y Intercepts f(x)=(x^2-5)(x+6)
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Solution:
Determine the x-intercepts
Step 1: Identify the x-intercepts
To locate the … |
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Find f(h(x)) f(x)=13-x h(x)=x^2-6x-18
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Solution:
Step 1:
Construct the composite function $f(h(x))$.
Step 2:
Insert $h(x… |
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Simplify ((x+4)/3+1/x)/(1+1/x)
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Solution:
Step 1:
Cross multiply the fraction by $3x$.
Step 1.1:
Multiply $\frac{… |
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Solve for x 10 square root of 2 = square root of …
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Solution:
Step 1:
Express the equation in its initial form: $\sqrt{2x} = 10\sqrt{2}$.
… |
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Solve the Inequality for k 6(k-11)>12
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Solution:
Step 1
Divide every term in the inequality $6(k - 11) > 12$ by $6$ to simplify … |
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Simplify (x^2-2x)/x
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Solution:
Step 1: Extract the common factor from the numerator
Extract the factor $x$ fro… |
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Graph 8<=x+5
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Solution:
Step 1:
Reposition the inequality to place $x$ on the left-hand side. $x + 5 \… |
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Evaluate cos(pi/3)^2
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Solution:
Step 1:
Determine the value of $\cos\left(\frac{\pi}{3}\right)$, which is $\fr… |
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Graph x^2-4x-12<=0
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Solution:
Step:1
Transform the given inequality into its equivalent equation form: $x^2 - … |
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Solve for x 8+6x=8+8x+7+3
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Solution:
Step 1: Combine like terms on the right side of the equation.
- Combine $8$ an… |
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Solve for h -8=9-5h
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Solution:
Step 1: Rewrite the Equation
Start by expressing the equation in the standard form: … |