Advertisements
Advertisements
प्रश्न
Subtract the sum of 12ab – 10b2 – 18a2 and 9ab + 12b2 + 14a2 from the sum of ab + 2b2 and 3b2 – a2.
Advertisements
उत्तर
Sum of 12ab – 10b2 – 18a2 and 9ab + 12b2 + 14a2
= 12ab – 10b2 – 18a2 + 9ab + 12b2 + 14a2
On combining the like terms,
= 12ab + 9ab – 10b2 + 12b2 – 18a2 + 14a2
= 21ab + 2b2 – 4a2
Sum of ab + 2b2 and 3b2 – a2
= ab + 2b2 + 3b2 – a2
= ab + 5b2 – a2
Now, subtracting 21ab + 2b2 – 4a2 from ab + 5b2 – a2, we get
= (ab + 5b2 – a2) – (21ab + 2b2 – 4a2)
= ab + 5b2 – a2 – 21ab – 2b2 + 4a2
On combining the like terms,
= ab – 21ab + 5b2 – 2b2 – a2 + 4a2
= –20ab + 3b2 + 3a2
= 3a2 + 3b2 – 20ab
APPEARS IN
संबंधित प्रश्न
Subtract: 7xyz from 17xyz
Subtract: 13x + 12y – 5 from 27x + 5y – 43
Subtract: 3p + 5 from p – 2q + 7
What should be subtracted from 2m + 8n + 10 to get – 3m + 7n + 16?
Subtract:
2ab + 5bc – 7ac from 5ab – 2bc – 2ac + 10abc
Subtract the following expressions:
–a2 – ab from b2 + ab
Subtract the following expressions:
4.5x5 – 3.4x2 + 5.7 from 5x4 – 3.2x2 – 7.3x
To what expression must 99x3 – 33x2 – 13x – 41 be added to make the sum zero?
If P = –(x – 2), Q = –2(y + 1) and R = –x + 2y, find a, when P + Q + R = ax.
From the sum of x2 – y2 – 1, y2 – x2 – 1 and 1 – x2 – y2 subtract –(1 + y2).
