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प्रश्न
Subtract the sum of 2x − x2 + 5 and − 4x − 3 + 7x2 from 5.
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उत्तर
We have to subtract the sum of (2x − x2 + 5) and (− 4x − 3 + 7x) from 5.
\[5 - \left\{ \left( 2x - x^2 + 5 \right) + \left( - 4x - 3 + 7 x^2 \right) \right\}\]
\[ = 5 - \left( 2x - 4x - x^2 + 7 x^2 + 5 - 3 \right)\]
\[ = 5 - 2x + 4x + x^2 - 7 x^2 - 5 + 3\]
\[= 5 - 5 + 3 - 2x + 4x + x^2 - 7 x^2\] (Collecting like terms)
\[= 3 + 2x - 6 x^2\] (Combining like terms)
Thus, the answer is \[3 + 2x - 6 x^2\].
संबंधित प्रश्न
Add the following:
ab − bc, bc − ca, ca − ab
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Add: 4x2y, - 3xy2, - 5xy2, 5x2y
Subtract: 6xy from − 12xy
Add the following algebraic expression: \[\frac{7}{2} x^3 - \frac{1}{2} x^2 + \frac{5}{3}, \frac{3}{2} x^3 + \frac{7}{4} x^2 - x + \frac{1}{3}, \frac{3}{2} x^2 - \frac{5}{2}x - 2\]
Subtract:
2a2 from − 7a2
Add:
−3y2 + 10y − 16; 7y2 + 8
Add:
3a(a – b + c), 2b(a – b + c)
Add the following expressions:
ab + bc + ca and – bc – ca – ab
Add the following expressions:
t – t2 – t3 – 14; 15t3 + 13 + 9t – 8t2; 12t2 – 19 – 24t and 4t – 9t2 + 19t3
