Subtract-i -5 x y from 12 x yii 2 a2 from -7 a2iii 2 a-b from 3 a-5 biv 2 x3-4 x2-3 x-5 from 4 x3-x2-x-6v 23y3-27y2-5 from 13 y 3-57 y 2-y-2vi 32 x-54 y-72 z from 23 x-32 y-43 zvii x 2 y-45 x y 2-43 x y from 23 x 2 y-32 x y 2-13 x yviii ab7-353bc-65ac from 35bc-45ac

(i) #160;12xy–5xy=12xy+5xy=17xy (ii) #160; 7a2 2a2= 7a2 2a2= 9a2 (iii) #160;3a 5b 2a b=3a 5b 2a+b=3a 5b 2a+b=3a 2a 5b+b=a 4b (iv) #160;4x3+x2+x+6 2x3 ...

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Byju's Answer

Standard VI

Mathematics

Coefficient

Subtract:i -5...

Question

Subtract:
(i) − 5xy from 12xy
(ii) 2a² from − 7a²
(iii) 2a − b from 3a − 5b
(iv) 2x³ − 4x² + 3x + 5 from 4x³ + x² + x + 6
(v) $\frac{2}{3} y^{3} - \frac{2}{7} y^{2} - 5 from \frac{1}{3} y^{3} + \frac{5}{7} y^{2} + y - 2$
(vi) $\frac{3}{2} x - \frac{5}{4} y - \frac{7}{2} z from \frac{2}{3} x + \frac{3}{2} y - \frac{4}{3} z$
(vii) $x^{2} y - \frac{4}{5} x y^{2} + \frac{4}{3} x y from \frac{2}{3} x^{2} y + \frac{3}{2} x y^{2} - \frac{1}{3} x y$
(viii) $\frac{a b}{7} - \frac{35}{3} b c + \frac{6}{5} a c from \frac{3}{5} b c - \frac{4}{5} a c$

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Solution

$(i) 12 x y - (- 5 x y) = 12 x y + 5 x y = 17 x y$

$(ii) - 7 a^{2} - (2 a^{2}) = - 7 a^{2} - 2 a^{2} = - 9 a^{2}$

$(iii) (3 a - 5 b) - (2 a - b) = (3 a - 5 b) - 2 a + b = 3 a - 5 b - 2 a + b = 3 a - 2 a - 5 b + b = a - 4 b$

$(iv) (4 x^{3} + x^{2} + x + 6) - (2 x^{3} - 4 x^{2} + 3 x + 5) = 4 x^{3} + x^{2} + x + 6 - 2 x^{3} + 4 x^{2} - 3 x - 5 = 4 x^{3} - 2 x^{3} + x^{2} + 4 x^{2} + x - 3 x + 6 - 5 (Collecting like terms) = 2 x^{3} + 5 x^{2} - 2 x + 1 (Combining like terms)$

$(v) (\frac{1}{3} y^{3} + \frac{5}{7} y^{2} + y - 2) - (\frac{2}{3} y^{3} - \frac{2}{7} y^{2} - 5) = \frac{1}{3} y^{3} + \frac{5}{7} y^{2} + y - 2 - \frac{2}{3} y^{3} + \frac{2}{7} y^{2} + 5 = \frac{1}{3} y^{3} - \frac{2}{3} y^{3} + \frac{5}{7} y^{2} + \frac{2}{7} y^{2} + y - 2 + 5 (Collecting like terms) = - \frac{1}{3} y^{3} + y^{2} + y + 3 (Combining like terms)$

$(vi) (\frac{2}{3} x + \frac{3}{2} y - \frac{4}{3} z) - (\frac{3}{2} x - \frac{5}{4} y - \frac{7}{2} z) = \frac{2}{3} x + \frac{3}{2} y - \frac{4}{3} z - \frac{3}{2} x + \frac{5}{4} y + \frac{7}{2} z = \frac{2}{3} x - \frac{3}{2} x + \frac{3}{2} y + \frac{5}{4} y - \frac{4}{3} z + \frac{7}{2} z (Collecting like terms) = - \frac{5}{6} x + \frac{11}{4} y + \frac{13}{6} z (Combining like terms)$

$(vii) (\frac{2}{3} x^{2} y + \frac{3}{2} x y^{2} - \frac{1}{3} x y) - (x^{2} y - \frac{4}{5} x y^{2} + \frac{4}{3} x y) = \frac{2}{3} x^{2} y + \frac{3}{2} x y^{2} - \frac{1}{3} x y - x^{2} y + \frac{4}{5} x y^{2} - \frac{4}{3} x y = \frac{2}{3} x^{2} y - x^{2} y + \frac{3}{2} x y^{2} + \frac{4}{5} x y^{2} - \frac{1}{3} x y - \frac{4}{3} x y (Collecting like terms) = - \frac{1}{3} x^{2} y + \frac{23}{10} x y^{2} - \frac{5}{3} x y (Combining like terms)$

$(viii) (\frac{3}{5} b c - \frac{4}{5} a c) - (\frac{a b}{7} - \frac{35}{3} b c + \frac{6}{5} a c) = \frac{3}{5} b c - \frac{4}{5} a c - \frac{a b}{7} + \frac{35}{3} b c - \frac{6}{5} a c = \frac{3}{5} b c + \frac{35}{3} b c - \frac{4}{5} a c - \frac{6}{5} a c - \frac{a b}{7} (Collecting like terms) = \frac{184}{15} b c - 2 a c - \frac{a b}{7} (Combining like terms)$

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Similar questions

Subtract:

(i) $5 x$ from $2 x$

(ii) $- x y$ from $6 x y$

(iii) $3 a$ from $5 b$

(iv) $- 7 x$ from $9 y$

(v) $10 x^{2}$ from $- 7 x^{2}$

(vi) $a^{2} - b^{2}$ from $b^{2} - a^{2}$

Subtract:

(i) − 5y²from y²

(ii) 6xy from − 12xy

(iii) (a − b) from (a + b)

(iv) a (b − 5) from b (5 − a)

(v) − m² + 5mn from 4m² − 3mn + 8

(vi) − x² + 10x − 5 from 5x − 10

(vii) 5a² − 7ab + 5b² from 3ab − 2a² −2b²

(viii) 4pq − 5q² − 3p² from 5p² + 3q²− pq

Q. Subtract:

(i)

\frac{3}{4} from \frac{1}{3}

(ii)

\frac{- 5}{6} from \frac{1}{3}

(iii)

\frac{- 8}{9} from \frac{- 3}{5}

(iv)

\frac{- 9}{7} from - 1

(v)

\frac{- 18}{11} from 1

(vi)

\frac{- 13}{9} from 0

(vii)

\frac{- 32}{13} from \frac{- 6}{5}

(viii)

- 7 from \frac{- 4}{7}

(ix)

\frac{5}{9} from \frac{- 2}{3}

(x)

5 from \frac{- 3}{5}

Q. Subtract:
(i)

- 5 y^{2}

from

y^{2}

(ii)

6 x y

from

- 12 x y

(iii)

(a - b)

from

(a + b)

(iv)

a (b - 5)

from

b (5 - a)

(v)

- m^{2} + 5 m n

from

4 m^{2} - 3 m n + 8

(vi)

- x^{2} + 10 x - 5

from

5 x - 10

(vii)

5 a^{2} - 7 a b + 5 b^{2}

from

3 a b - 2 a^{2} - 2 b^{2}

(viii)

4 p q - 5 q^{2} - 3 p^{2}

from

5 p^{2} + 3 q^{2} - p q

Q. Subtract:

(i) −8xy from 7xy
(ii) x² from − 3x²
(iii) (x − y) from (4y − 5x)
(iv) (a²+ b² − 2ab) from (a² + b² + 2ab)
(v) (x² − y²) from (2x² − 3y² + 6xy)
(vi) (x − y + 3z) from (2z − x − 3y)

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Subtract: (i) − 5xy from 12xy (ii) 2a2 from − 7a2 (iii) 2a − b from 3a − 5b (iv) 2x3 − 4x2 + 3x + 5 from 4x3 + x2 + x + 6 (v) 23y3-27y2-5 from 13y3+57y2+y-2 (vi) 32x-54y-72z from 23x+32y-43z (vii) x2y-45xy2+43xy from 23x2y+32xy2-13xy (viii) ab7-353bc+65ac from 35bc-45ac