Question

Escreva os seguintes polinômios na forma reduzida.
a)5ax²-8(a-ax³)-(-5a-7a׳)
b)(-13ab+5a)-(-12ab-6a²-3a)-(2ab-a²)
c)(7ײ+7)+(-×+2)-(2ײ-1)+(-7ײ+2×-2)
d(-9×+10)-(3×-5)+(-3+-5)-(17×+10)
e)-2×-(y+5-5×)-(xy+3y)+(-2y+7×-4xy)

Answer 1

Resposta:

$a)\\ \\ 5ax^{2} -8(a-ax^{3} )-(-5a-7ax^{3})=\\ \\ 5ax^{2} -8a+8ax^{3} +5a+7ax^{3} =\\ \\ 8ax^{3} +7ax^{3} +5ax^{2} -8a+5a=\\ \\ 15ax^{3} +5ax^{2} -3a$

$b)\\ \\ (-13ab+5a)-(-12ab-6a^{2} -3a)-(2ab-a^{2} )=\\ \\ -13ab+5a+12ab+6a^{2} +3a-2ab+a^{2} \\ \\ 6a^{2} +a^{2} -13ab+12ab-2ab+5a+3a=\\ \\ 7a^{2} -3ab+8a$

$c)\\ \\ (7x^{2} +7)+(-x+2)-(2x^{2} -1)+(-7x^{2} +2x-2)=\\ \\ 7x^{2} +7-x+2-2x^{2} +1-7x^{2} +2x-2=\\ \\ 7x^{2} -2x^{2} -7x^{2} -x+2x+7+2+1-2=\\ \\ -2x^{2} +x+8$

$d)\\ \\ (-9x+10)-(3x-5)+(-3+-5)-(17x+10)=\\ \\ -9x+10-3x+5-3-5-17x-10=\\ \\ -9x-3x-17x+10+5-3-5-10=\\ \\ -29x-3$

$e)\\ \\ -2x-(y+5-5x)-(xy+3y)+(-2y+7x-4xy)=\\ \\ -2x-y-5+5x-xy-3y-2y+7x-4xy=\\ \\ -2x+5x+7x-xy-4xy-y-3y-2y-5=\\ \\ 10x-5xy-6y-5$