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Gringo123
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How can I foctorise / factor this given that 25 and 49 share no common factors?
25x2 - 49y2
25x2 - 49y2
This is a difference of squares.Gringo123 said:How can I foctorise / factor this given that 25 and 49 share no common factors?
25x2 - 49y2
Neither do x2 and y2 share any common factors, so this should imply you're looking for another factoring method other than finding a common factor. In this case, difference of two squares.Gringo123 said:given that 25 and 49 share no common factors?
Gringo123 said:Thanks everyone. So am I right in saying that the answer would be:
(5x - 7y) (5x + 7y)
?
Factoring is the process of breaking down a mathematical expression into smaller parts called factors. It is important because it allows us to simplify complex expressions and solve equations more easily.
Common factors are numbers or variables that divide evenly into two or more terms of an expression. They can be used to simplify the expression by factoring them out.
When there are no common factors, you can use other techniques such as factoring by grouping, factoring by trial and error, or using the quadratic formula.
For example, let's factor the expression 6x^2 + 11x + 4. In this case, there are no common factors between the three terms. We can use factoring by grouping to rewrite the expression as (6x^2 + 8x) + (3x + 4). Then, we can factor out 2x from the first group and 1 from the second group, giving us 2x(3x + 4) + 1(3x + 4). Finally, we can factor out the common binomial (3x + 4) to get the factored form of (2x + 1)(3x + 4).
Some tips for factoring when there are no common factors include looking for patterns, using substitution to simplify the expression, and practicing with different examples to improve your factoring skills.