a) \(x^2+5x^2+\left(-3x^2\right)=x^2+5x^2-3x^2=\left(1+5-3\right).x^2=3x^2\)
b) \(5xy^2+\frac{1}{2}xy^2+\frac{1}{4}xy^2+\left(-\frac{1}{2}\right)xy^2=5xy^2+\frac{1}{4}xy^2=\left(5+\frac{1}{4}\right)xy^2=\frac{21}{4}xy^2\)
c) \(3x^2y^2z^2+x^2y^2z^2=\left(3+1\right)x^2y^2z^2=4x^2y^2z^2\)
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a, \(x^2+5x^2+\left(-3x^2\right)=3x^2\)
b, \(5xy^2+\frac{1}{2}xy^2+\frac{1}{4}xy^2+\left(-\frac{1}{2}\right)xy^2=\frac{11}{2}xy^2+\left(-\frac{1}{4}\right)xy^2=\frac{21}{4}xy^2\)
c, \(3x^2y^2z^2+x^2y^2z^2=4x^2y^2z^2\)