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Volgvan
3 years ago
11

(Show your work) Factor out the GCF: 6x3y2z4 - 7x2y5z

Mathematics
1 answer:
mestny [16]3 years ago
5 0

Answer:

x²y²z is the Greatest Common Factor

Therefore,

6x³y²z⁴ - 7x²y⁵z = x²y²z (6xz³ - 7y³)

Step-by-step explanation:

Given the expression

6x³y²z⁴ - 7x²y⁵z

The first step is to factor out the greatest common factor from each term

6x³y²z⁴ = 2 · 3 · 6 · x · x · x· y · y · z · z · z · z

7x²y⁵z =  7 · x · x · y · y · y· y · y · z

So

G.C.F = x · x . y · y . z

G.C.F = x²y²z

Thus, x²y²z is the Greatest Common Factor

         

Therefore,

6x³y²z⁴ - 7x²y⁵z = x²y²z (6xz³ - 7y³)

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