Question

haz las siguientes sumas
(5x*2-7x-8)+(-3x-9)
(4a*2+2ab+5b)+(6a*2-7ab)
(-15mn*2+6m*2n-9m)+(-13m*2n-2m+3)
(1/2m*3-2/3m*2)+(-2/5m*3+1/4m*2)
(-6x*3y*2+7x*2y*3-9)+(-8/3x*3y*2+7/4)
(8a*3b*4-2/7a*4b*3)+(-5a*4b*3-1/3a*3b*4)

Answer 1

Hola! ^º,.,º^

Para realizar las siguientes sumas de polinomios agruparemos los términos semejantes, entonces comenzemos con los ejercicios :)

• $(5x^{2} -7x-8)+(-3x-9) \\ 5x^{2} -7x-8-3x-9\\ 5x^{2}+( -7x-3x)+(-8-9)\\ 5x^{2} -10x-17$

• $(4a^{2} +2ab+5b)+(6a^{2}-7ab)\\ 4a^{2} +2ab+5b+6a^{2}-7ab\\ (4a^{2}+6a^{2}) +(2ab-7ab)+5b\\ 10a^{2} -5ab+5b$

• $(-15mn^{2}+6m^{2}n-9m)+(-13m^{2}n-2m+3)\\ -15mn^{2}+6m^{2}n-9m+-13m^{2}n-2m+3\\ -15mn^{2} +(6m^{2}n-13m^{2}n)+(-9m-2m)+3\\ -15mn^{2} -7m^{2} n-11m+3$

• $(\frac{1}{2}m^{3}-\frac{2}{3}m^{2})+(-\frac{2}{5}m^{3}+\frac{1}{4}m^{2})\\\\ \frac{1}{2}m^{3}-\frac{2}{3}m^{2}-\frac{2}{5}m^{3}+\frac{1}{4}m^{2}\\\\ (\frac{1}{2}m^{3}-\frac{2}{5}m^{3})+(\frac{1}{4}m^{2}-\frac{2}{3}m^{2})\\ \\\frac{1}{10}m^{3}- \frac{5}{12}m^{2}$

• $(-6x^{3}y^{2}+7x^{2}y^{3}-9)+(-\frac{8}{3}x^{3}y^{2}+\frac{7}{4})\\\\-6x^{3}y^{2}+7x^{2}y^{3}-9-\frac{8}{3}x^{3}y^{2}+\frac{7}{4}\\\\ (-6x^{3}y^{2}-\frac{8}{3}x^{3}y^{2})+7x^{2}y^{3}+(\frac{7}{4}-9)\\\\-\frac{24}{3}x^{3} y^{2} +7x^{2}y^{3}-\frac{29}{4}$

• $(8a^{3}b^{4}-\frac{2}{7}a^{4}b^{3})+(-5a^{4}b^{3}-\frac{1}{3}a^{3}b^{4}) \\\\8a^{3}b^{4}-\frac{2}{7}a^{4}b^{3}-5a^{4}b^{3}-\frac{1}{3}a^{3}b^{4}\\\\(8a^{3}b^{4}-\frac{1}{3}a^{3}b^{4})+(-5a^{4}b^{3}-\frac{2}{7}a^{4}b^{3})\\\\\frac{23}{3}a^{3} b^{4}-\frac{37}{7}a^{4} b^{3}$

Answer 2

A continuación la suma de los polinomios

Para sumar los polinomios debemos agrupar los términos semejantes

• (5X^2-7X - 8) + (-3x-9) =

5X^2 + (-7X - 3X) + (-9 -8) =

5X^2 - 10X - 17

• (4a^2+2ab+5b) + (6a^2-7ab) =

(4a^2 + 6a^2) + (2ab - 7ab) + 5b =

10a^2 - 5ab + 5b

• (-15mn^2+6nm^2-9m) + (-13nm^2-2m+3) =

-15mn^2 + (6nm^2 - 13nm^2) + (-9m - 2m) + 3 =

-15mn^2 - 7nm^2 -11m + 3

• (1/2m^3-2/3m^2) + (-2/5m^3+1/4m^2) =

(- 2/3m^2 + 1/4m^2) + (-2/5m^3 + 1/2m^3) =

-5/12m^2 + 1/10m^3

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