"Factoring" something means that you look for expressions which, when multiplied together, result in the given expression. Thus, for example for numbers, if you are asked to factor 52 you can say that the answer is 2 x 2 x 13 (these factors, multiplied together, are equal to 52; on the other hand, they can't be further factored into smaller factors, at least, not with whole numbers). Similarly with an expression; if you are given x squared minus 1, you can factor it as (x + 1)(x - 1), since the two factors, when multiplied together, give you the original expression.
multiplying
Factor out the Greatest Common Factor.
Factoring is breaking down an expression into two or more simpler expressions. When you are factoring, you must simply the numbers and variables until they cannot be broken down any further.
The first factoring method you should always try is the greatest common factor (GCF). By identifying and factoring out the GCF from all terms in an expression, you simplify the problem and often make it easier to see further factoring opportunities. This method not only reduces the expression but also sets a solid foundation for applying other factoring techniques if needed.
To write a simplified expression in factored form, first, identify common factors in the expression. Use techniques such as grouping, the distributive property, or factoring patterns (like difference of squares or trinomials) to rewrite the expression. Ensure that the expression is simplified by combining like terms before factoring. Finally, express the result as a product of its factors.
multiplying
Factor out the Greatest Common Factor.
Factoring is breaking down an expression into two or more simpler expressions. When you are factoring, you must simply the numbers and variables until they cannot be broken down any further.
The first factoring method you should always try is the greatest common factor (GCF). By identifying and factoring out the GCF from all terms in an expression, you simplify the problem and often make it easier to see further factoring opportunities. This method not only reduces the expression but also sets a solid foundation for applying other factoring techniques if needed.
That is called "factoring".
To write a simplified expression in factored form, first, identify common factors in the expression. Use techniques such as grouping, the distributive property, or factoring patterns (like difference of squares or trinomials) to rewrite the expression. Ensure that the expression is simplified by combining like terms before factoring. Finally, express the result as a product of its factors.
its easy first,xczxczxczxczxc....ERROR..vxbdxv
Regular expression is built in and the regular definition has to build from regular expression........
An equivalent expression for (5x^8 - 10) can be factored as (5(x^8 - 2)). This shows that the expression can be simplified by factoring out the common term (5).
The opposite of expanding expressions is factoring. While expanding involves distributing and combining like terms to create a longer expression, factoring entails breaking down an expression into simpler components or products. This process often reveals the underlying structure of the expression, making it easier to solve equations or analyze mathematical relationships.
6y3 + 8y2 - 15y - 20 is an expression, not an equation (or inequality). An expression cannot be solved.The expression factorises to (3y + 4)*(2y2 - 5)
The expression for 42r - 18 can be simplified by factoring out the greatest common factor, which is 6. This gives us 6(7r - 3). Thus, the expression can be rewritten as 6(7r - 3).