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in Algebraic Expressions by (36.4k points)
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Add the following algebraic expressions:

(i) \(3a^{2}b, -4a^{2}b, 9a^{2}b\)

(ii) \(\frac{2}{3}a, \frac{3}{5}a, -\frac{6}{5}a\)

(iii) \(4xy^{2}-7x^{2}y, 12x^{2}y-6xy^{2}, -3x^{2}y+5xy^{2}\)

(iv) \(\frac{3}{2}a-\frac{5}{4}b+\frac{2}{5}c,\frac{2}{3}a-\frac{7}{2}b+\frac{7}{2}c,\frac{5}{3}a+\frac{5}{2}b-\frac{5}{4}c\)

(v) \(\frac{11}{2}xy+\frac{12}{5}y+\frac{13}{7}x, -\frac{11}{2}y-\frac{12}{5}x-\frac{13}{7}xy\)

(vi) \(\frac{7}{2}x^{3}-\frac{1}{2}x^{2}+\frac{5}{3}, \frac{3}{2}x^{3}+\frac{7}{4}x^{2}-x+\frac{1}{3}, \frac{3}{2}x^{2}-\frac{5}{2}x-2\)

1 Answer

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Best answer

(i) \(3a^{2}b, -4a^{2}b, 9a^{2}b\)

\(3a^{2}b+ (-4a^{2}b)+ 9a^{2}b\)

\(3a^{2}b-4a^{2}b+9a^{2}b\)

\(3a^{2}b\)

(ii)

 

(iii) \(4xy^{2}-7x^{2}y, 12x^{2}y-6xy^{2}, -3x^{2}y+5xy^{2}\)

= 4xy2 – 7x2y + 12x2y – 6xy2 – 3x2y + 5xy2

= 4x2 + 12x2y – 3x2y – 7x2y – 6xy2 + 5xy2

= 3xy2 + 2x2y

(iv)

 

(v)

 

(vi)

 

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