12x^3y^2-8x^2y^2+16x^3y?

Question

Express the trinomial as the product of its greatest monomial factor and another polynomial

Answer 1

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12x^3y^2-8x^2y^2+16x^3y
GCF is 4x^2y
Therefore given expression
=4x^2y(3xy-2y+4x)

Answer 2

Simplifying
12x^3y^2 + -8x^2y^2 + 16x^3y

Reorder the terms:
-8x^2y^2 + 16x^3y + 12x^3y^2

Factor out the Greatest Common Factor (GCF), '4x^2y'.
4x^2y(-2y + 4x + 3xy)

Final result:
4x^2y(-2y + 4x + 3xy)

Answer 3

P = R-C = -.5x^2 + 40x -3 P' = -x+40 set P'=0 and get x = 40 R(40) = 1200 C(40) = 403 P(40) = 797 yet that used calculus. so enable's attempt it with basically algebra. because of the x^2 term, each and every merchandise produced is properly nicely worth somewhat under the previous one. So we bump into the breakeven ingredient, the article whose further sales = its further value. from there matters bypass downhill. P(x+a million) - P(x) = .5(x+a million)^2 - .5x^2 + 40(x+a million) - 40(x) = .5(x^2 + 2x +a million) -.5x^2 + 40 = x + 39.5 So the breakeven ingredient is x = 39.5 products

Answer 4

4x^2y(3xy-2y+4x)