In math, expanded form can refer to any type of expression, equation or notation that is completely broken down into its individual parts. Expanded form is commonly used in teaching students place value and factoring.
Know MoreIn discussion of place value, expanded form is when a number is broken down into each place value with an addition sign placed between each number. For example, 356 would be 300+50+6 in expanded form. When an expression is factored, it changes the expression into expanded form. x^{2}-4 would factor into the expanded form of (x-2)(x+2). The expanded form of quadratic equations is often more useful in graphing than the standard form.
Learn more about AlgebraTo factor an equation by grouping, separate the polynomial expression into two binomials, and find the zeroes of the equation that cross the x-axis. Factoring an equation by grouping involves using the master product of the first and last terms.
Full Answer >The difference between an expression and an equation is that an expression is a mathematical phrase representing a single value whereas an equation is a mathematical sentence asserting equality between two quantities. Also, an equation is normally separated into left- and right-hand sides by an equal sign.
Full Answer >An expression is a group of connected numbers, operations such as addition and multiplication, and unknown variables represented by letters of the alphabet. It differs from an equation in that it does not contain an equal sign and cannot be solved.
Full Answer >Factored form is defined as the simplest algebraic expression in which no common factors remain. Finding the factored form is useful in solving linear equations.
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