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A power can be factored in many different ways; for example: x5 = x times x4 = x2 times x3. When such a power appears as a term in combination with other expressions, you should look out for common factoring patterns. Here are two examples:
x2 + x5
Here, you can use the pattern "common factor". In this case, both parts have the common factor x2, so you can factor it out.
x4 - 1
Here, you can use the pattern "difference of squares". Note that x4 is the square of x2, and 1 is the square of 1.
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What is the difference between a algebraic equation and a monomial?
The first is an equation which may contain any powers of the variable - including fractional powers. The second is a single term.
If the base are different and powers are same in a equation then can the power be canceled?
no
Is the equation 3s equals 2t linear or nonlinear?
A linear equation has no higher powers than 1. This is linear.
Why is the exponent of a variable a determining factor in whether an equation is linear?
Because that is how a linear equation is defined!
How do you solve a quadratic equation that will not factor?
How you solve an equation that doesn't factor is to plug a quadratic equation's format; ax2+bx+c into the quadratic formula which is x=-b+square root to (b2-4ac)/2a.
