Question

1. Factorise the following using suitable identities -
(a) 49x2 – 42x +9
(b) 1 + 27a
(c) 5x2 – 64y2
(d) 4x² + 2y + 167 - 412xy - 8V2yz + 16xz
(e) 64a' + 125b3 + 8c? - 120abc
2. Expand the following using suitable identities-
(a)
(3x – 2y)
(b) (m + 2n - 5p)2
(0) (x + 5)(x-3)
(d) (V2x – 3y)2
3. Evaluate the following using suitable identity-
(a) 103 x 107
(b) 303 + 203 - 503
(C) (203)
4. If x + 1/x=6, find the value of x² + 1/x2
5. Ifx+y=12 and xy = 32, find the value of x2 + y2
6. If 9x² + 25y? = 181 and xy=-6, find the value of 3x + 5y
7. Simplify (a + b + c)2 – (a - b -c)?
8. If a +b+c=9 and ab + bc + ca = 23, find the value of a² + b2 + c2
9. If x+y=12 and xy = 27, find the value of x² + y3
10. If x2 + 1/x2 = 66, find the value of x - 1/x​

Answer 1

Answer:

in 7th question identitycentre number 3 is be used as a square + b square + c square + 2 whole square a b + BC + CA is equal to 144