Advertisements
Advertisements
Question
Use an expansion formula to find the value.
(97)2
Advertisements
Solution
It is known that (a + b)2 = a2 + 2ab + b2 and (a − b)2 = a2 − 2ab + b2
(97)2
= (100 − 3)2
= (100)2 − 2 × 100 × 3 + (3)2
= 10000 − 600 + 9
= 9409
RELATED QUESTIONS
Use a suitable identity to get the following products.
(a2 + b2) (− a2 + b2)
Using identities, evaluate 8.92
Expand (5a + 6b)2
Expand:
`("y" - 3/"y")^2`
`(("a" + "b")("a"^3 - "b"^3))/(("a"^2 - "b"^2))` = ___________
Factorise the following using suitable identity
a2 + 6ab + 9b2 – c2
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
x2 + 6x + 9
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
4x2 + 12x + 9
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
a2x3 + 2abx2 + b2x
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
4x4 + 12x3 + 9x2
