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Learn about factoring by finding the greatest common factor and simplifying expressions through cancellation. Practice problems included.
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Lesson 35 Factoring the GCF - Canceling Factoring is the process of writing an indicated sum as a product of factors. Factor the GCF of 2ax + 2ac 2a is the GCF Answer: 2a(x + c) Factor the GCF of a3x3m2 + a2xm3 – a4x3m2 Factor 4a3b4z3 + 2a2bz4
Factoring & Canceling cont. 4. Factor the GCF of: 6 a2x2 + 2a3x3 + 4a4x3 5. Factor the GCF of: 3m3xy2 + m2y Cancellation is possible when the the numerator and denominator contain one or more common factors
6. Simplify: • 4(a – 3) b) 3(x – 2) 4 (x – 2) 7. Simplify: 3p + 3 3 8. Simplify: 3x – 9x2 3x 9. Simplify: 5x – 25x2 5xy