Answer:
Part A: 5x^10−80x^2
Part B: 5x^2(x^4+4)(x^2+2)(x^2−2)
Step-by-step explanation:
Factor 5x^10−80x^2
5x^10−80x^2
This is how you would factor it
=5x^2(x^4+4)(x^2+2)(x^2−2)
Factor out the Greatest Common Factor.
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).
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.
The expression ( 36x + 84 ) can be factored by finding the greatest common factor (GCF) of the coefficients, which is 12. Factoring it out gives ( 12(3x + 7) ). Thus, the equivalence to the expression is ( 12(3x + 7) ).
factoring whole numbers,factoring out the greatest common factor,factoring trinomials,factoring the difference of two squares,factoring the sum or difference of two cubes,factoring by grouping.
An expression is in its lowest terms if the greatest common factor of the numerator and denominator is one.An expression is in its lowest terms if the greatest common factor of the numerator and denominator is one.An expression is in its lowest terms if the greatest common factor of the numerator and denominator is one.An expression is in its lowest terms if the greatest common factor of the numerator and denominator is one.
Additive factoring.7e + 7e2= 7e(1 + e)----------------------so,7e=====greatest common factor
(12 x 2) + (12 x 3) = 12(2 + 3)
What makes a greatest common factor "common" is comparing at least two terms and finding something common between them.
The expression 16a + 24b can be simplified by factoring out the greatest common factor, which in this case is 8. This results in 8(2a + 3b). Therefore, 16a + 24b is equivalent to 8(2a + 3b).
To reduce a mathematical expression, you simplify it by factoring, canceling common terms, or combining like terms. For fractions, you can find the greatest common divisor (GCD) of the numerator and denominator to simplify. In algebraic expressions, look for common factors and use properties like the distributive property to condense the expression. Always ensure the final form is in its simplest terms.
gcf is Greatest Common Factor. It means what is the largest value that can go into what you are factoring.