Advertisements
Advertisements
प्रश्न
By using identity evaluate the following:
73 – 103 + 33
उत्तर
73 – 103 + 33
(a + b + c)(a2 + b2 + c2 – ab – bc – ca) = a3 + b3 + c3 – 3abc
If a + b + c = 0, then a3 + b3 + c3 = 3abc
∴ 7 – 10 + 3 = 0
⇒ 73 – 103 + 33 = 3 × 7 × –10 × 3
= 9 × – 70 = – 630
APPEARS IN
संबंधित प्रश्न
Simplify the following using the identities: \[\frac{198 \times 198 - 102 \times 102}{96}\]
Find the value of x, if 5x = (50)2 − (40)2.
Find the following product: (y2 − 4) (y2 − 3)
Evaluate the following: 109 × 107
Evaluate the following by using identities:
983
Simplify:
(3x + 2y)2 + (3x – 2y)2
Expand the following, using suitable identities.
`(4/5a + 5/4b)^2`
Expand the following, using suitable identities.
(a2 + b2)2
Expand the following, using suitable identities.
(7x + 5)2
Perform the following division:
(ax3 – bx2 + cx) ÷ (– dx)
