Respuesta:
Recordemos, que términos semejantes son aquellos que tienen las mismas variables (letras), y elevadas a la misma potencia. Y la reducción de términos semejantes, se hace operando únicamente los coeficientes de cada término.
1.
[tex]2x^{2}+3x^{2}-7x^{2}+10x^{2}\\15x^{2}-7x^{2}\\8x^{2}[/tex]
Respuesta: [tex]8x^{2}[/tex]
2.
[tex]2xy+4xy-5xy-10xy\\6xy-15xy\\-9xy[/tex]
Respuesta: [tex]-9xy[/tex]
3.
[tex]5x^{3}y^{2}+3y^{2}x^{3}+11x^{3}y^{2}-25y^{2}x^{3}\\\\19x^{3}y^{2}-25y^{2}x^{3}\\\\-6x^{3}y^{2}[/tex]
Respuesta: [tex]-6x^{3}y^{2}[/tex]
4.
[tex]a^{3}b^{4}c^{5}+2b^{3}c^{4}a^{5}+3c^{3}a^{4}b^{5}-7b^{3}c^{4}a^{5}+2a^{3}b^{4}c^{5}-10c^{3}a^{4}b^{5}\\\\(a^{3}b^{4}c^{5}+2a^{3}b^{4}c^{5})+(2b^{3}c^{4}a^{5}-7b^{3}c^{4}a^{5})+(3c^{3}a^{4}b^{5}-10c^{3}a^{4}b^{5})\\\\3a^{3}b^{4}c^{5}-5b^{3}c^{4}a^{5}-7c^{3}a^{4}b^{5}[/tex]
Respuesta: [tex]3a^{3}b^{4}c^{5}-5b^{3}c^{4}a^{5}-7c^{3}a^{4}b^{5}[/tex]
5.
[tex]2x^{3}y^{4}a^{2}+5a^{2}x^{3}y^{4}-3x^{2}y^{4}a^{3}+x^{3}a^{4}y^{2}+7x^{2}y^{4}a^{3}-x^{3}y^{2}a^{4}\\\\(2x^{3}y^{4}a^{2}+5a^{2}x^{3}y^{4})+(-3x^{2}y^{4}a^{3}+7x^{2}y^{4}a^{3})+(x^{3}a^{4}y^{2}-x^{3}y^{2}a^{4})\\\\7x^{3}y^{4}a^{2}+4x^{2}y^{4}a^{3}[/tex]
Respuesta: [tex]7x^{3}y^{4}a^{2}+4x^{2}y^{4}a^{3}[/tex]
6.
[tex]-[a+[-[-[b+a+4b-(2a-b)]]]]\\\\-[a+[-[-[a+5b-2a+b]]]]\\\\-[a+[-[-[-a+6b]]]]\\\\-[a+[-a+6b]]\\\\-[6b]\\\\-6b[/tex]
Respuesta: [tex]-6b[/tex]
7.
[tex]-[-[-[-[-[-a[-a+[-a-[a]]]]]]]]\\\\-[-[-[-[-[-a[-a+[-2a]]]]]]]\\\\-[-[-[-[-[-a[-3a]]]]]]\\\\-[-[-[-[-[3a^{2}]]]]]\\\\-[3a^{2}]\\\\-3a^{2}[/tex]
Respuesta: [tex]-3a^{2}[/tex]
8.
[tex]-[-(4xy^{2}+5x^{2}y)+[-(2x^{2}y+3xy^{2})-(x^{2}y-xy^{2})]]\\\\-[-4xy^{2}-5x^{2}y+[-2x^{2}y-3xy^{2}-x^{2}y+xy^{2}]]\\\\-[-4xy^{2}-5x^{2}y+[-3x^{2}y-2xy^{2}]]\\\\-[-6xy^{2}-8x^{2}y]\\\\6xy^{2}+8x^{2}y[/tex]
Respuesta: [tex]6xy^{2}+8x^{2}y[/tex]
9.
[tex]x^{2}y^{3}z^{4}+x^{2}z^{3}y^{4}+y^{2}x^{3}z^{4}+x^{2}z^{3}y^{4}+y^{2}z^{3}x^{4}+z^{2}x^{3}y^{4}+z^{2}y^{3}x^{4}+y^{2}z^{3}x^{4}+y^{2}x^{3}z^{4}+z^{2}x^{3}y^{4}+z^{2}y^{3}x^{4}+x^{2}z^{3}y^{4}[/tex]
[tex]x^{2}y^{3}z^{4}+3x^{2}z^{3}y^{4}+2y^{2}x^{3}z^{4}+2y^{2}z^{3}x^{4}+2z^{2}x^{3}y^{4}+2z^{2}y^{3}x^{4}[/tex]
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
Verified answer
Respuesta:
Recordemos, que términos semejantes son aquellos que tienen las mismas variables (letras), y elevadas a la misma potencia. Y la reducción de términos semejantes, se hace operando únicamente los coeficientes de cada término.
1.
[tex]2x^{2}+3x^{2}-7x^{2}+10x^{2}\\15x^{2}-7x^{2}\\8x^{2}[/tex]
Respuesta: [tex]8x^{2}[/tex]
2.
[tex]2xy+4xy-5xy-10xy\\6xy-15xy\\-9xy[/tex]
Respuesta: [tex]-9xy[/tex]
3.
[tex]5x^{3}y^{2}+3y^{2}x^{3}+11x^{3}y^{2}-25y^{2}x^{3}\\\\19x^{3}y^{2}-25y^{2}x^{3}\\\\-6x^{3}y^{2}[/tex]
Respuesta: [tex]-6x^{3}y^{2}[/tex]
4.
[tex]a^{3}b^{4}c^{5}+2b^{3}c^{4}a^{5}+3c^{3}a^{4}b^{5}-7b^{3}c^{4}a^{5}+2a^{3}b^{4}c^{5}-10c^{3}a^{4}b^{5}\\\\(a^{3}b^{4}c^{5}+2a^{3}b^{4}c^{5})+(2b^{3}c^{4}a^{5}-7b^{3}c^{4}a^{5})+(3c^{3}a^{4}b^{5}-10c^{3}a^{4}b^{5})\\\\3a^{3}b^{4}c^{5}-5b^{3}c^{4}a^{5}-7c^{3}a^{4}b^{5}[/tex]
Respuesta: [tex]3a^{3}b^{4}c^{5}-5b^{3}c^{4}a^{5}-7c^{3}a^{4}b^{5}[/tex]
5.
[tex]2x^{3}y^{4}a^{2}+5a^{2}x^{3}y^{4}-3x^{2}y^{4}a^{3}+x^{3}a^{4}y^{2}+7x^{2}y^{4}a^{3}-x^{3}y^{2}a^{4}\\\\(2x^{3}y^{4}a^{2}+5a^{2}x^{3}y^{4})+(-3x^{2}y^{4}a^{3}+7x^{2}y^{4}a^{3})+(x^{3}a^{4}y^{2}-x^{3}y^{2}a^{4})\\\\7x^{3}y^{4}a^{2}+4x^{2}y^{4}a^{3}[/tex]
Respuesta: [tex]7x^{3}y^{4}a^{2}+4x^{2}y^{4}a^{3}[/tex]
6.
[tex]-[a+[-[-[b+a+4b-(2a-b)]]]]\\\\-[a+[-[-[a+5b-2a+b]]]]\\\\-[a+[-[-[-a+6b]]]]\\\\-[a+[-a+6b]]\\\\-[6b]\\\\-6b[/tex]
Respuesta: [tex]-6b[/tex]
7.
[tex]-[-[-[-[-[-a[-a+[-a-[a]]]]]]]]\\\\-[-[-[-[-[-a[-a+[-2a]]]]]]]\\\\-[-[-[-[-[-a[-3a]]]]]]\\\\-[-[-[-[-[3a^{2}]]]]]\\\\-[3a^{2}]\\\\-3a^{2}[/tex]
Respuesta: [tex]-3a^{2}[/tex]
8.
[tex]-[-(4xy^{2}+5x^{2}y)+[-(2x^{2}y+3xy^{2})-(x^{2}y-xy^{2})]]\\\\-[-4xy^{2}-5x^{2}y+[-2x^{2}y-3xy^{2}-x^{2}y+xy^{2}]]\\\\-[-4xy^{2}-5x^{2}y+[-3x^{2}y-2xy^{2}]]\\\\-[-6xy^{2}-8x^{2}y]\\\\6xy^{2}+8x^{2}y[/tex]
Respuesta: [tex]6xy^{2}+8x^{2}y[/tex]
9.
[tex]x^{2}y^{3}z^{4}+x^{2}z^{3}y^{4}+y^{2}x^{3}z^{4}+x^{2}z^{3}y^{4}+y^{2}z^{3}x^{4}+z^{2}x^{3}y^{4}+z^{2}y^{3}x^{4}+y^{2}z^{3}x^{4}+y^{2}x^{3}z^{4}+z^{2}x^{3}y^{4}+z^{2}y^{3}x^{4}+x^{2}z^{3}y^{4}[/tex]
Respuesta:
[tex]x^{2}y^{3}z^{4}+3x^{2}z^{3}y^{4}+2y^{2}x^{3}z^{4}+2y^{2}z^{3}x^{4}+2z^{2}x^{3}y^{4}+2z^{2}y^{3}x^{4}[/tex]