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प्रश्न
Add the following algebraic expression:
4xy2 − 7x2y, 12x2y − 6xy2, − 3x2y +5xy2
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उत्तर
To add, we proceed as follows:
\[\left( 4 {xy}^2 - 7 x^2 y \right) + \left( 12 x^2 y \right) + \left( - 6 {xy}^2 \right) + \left( - 3 x^2 y + 5 {xy}^2 \right)\]
\[ = 4 {xy}^2 - 7 x^2 y + 12 x^2 y - 6 {xy}^2 - 3 x^2 y + 5 {xy}^2 \]
\[ = 4 {xy}^2 - 6 {xy}^2 + 5 {xy}^2 - 7 x^2 y + 12 x^2 y - 3 x^2 y ( \text { Collecting like terms } )\]
\[ = 3 {xy}^2 + 2 x^2 y (\text { Combining like terms })\]
संबंधित प्रश्न
Add the following:
2p2q2 − 3pq + 4, 5 + 7pq − 3p2q2
Subtract 3xy + 5yz − 7zx from 5xy − 2yz − 2zx + 10xyz.
Simplify combining like terms: 21b − 32 + 7b − 20b
Add the following algebraic expression:
\[\frac{2}{3}a, \frac{3}{5}a, - \frac{6}{5}a\]
Subtract:
2x3 − 4x2 + 3x + 5 from 4x3 + x2 + x + 6
Subtract:
\[x^2 y - \frac{4}{5}x y^2 + \frac{4}{3}xy \text { from } \frac{2}{3} x^2 y + \frac{3}{2}x y^2 - \frac{1}{3}xy\]
Add:
9p + 16q; 13p + 2q
Add:
3y2 − 10y + 16; 2y − 7
The addition of 3mn, – 5mn, 8mn and – 4mn is
Add:
3a(a – b + c), 2b(a – b + c)
