Advertisements
Advertisements
Question
Verify the following:
(7p – 13q)2 + 364pq = (7p + 13q)2
Advertisements
Solution
Taking L.H.S. = (7p – 13q)2 + 364pq
= (7p)2 + (13q)2 – 2 × 7p × 13q + 364q
= (7p)2 + (13q)2 – 182pq + 364pq
= (7p)2 + (13q)2 + 182pq
= (7p)2 + (13q)2 + 2 × 7p × 13q
= (7p + 13q)2
= R.H.S.
Hence verified.
APPEARS IN
RELATED QUESTIONS
Use a suitable identity to get the following products.
(a2 + b2) (− a2 + b2)
Simplify (ab + bc)2 − 2ab2c
Which of the options given below is the square of the binomial `(8-1/"x")`?
Use an expansion formula to find the value.
(97)2
Use a formula to multiply of (2a – 13)(2a + 13)
(x2 + y2)(y2 + x2) = (x2 + y2)2
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
a2x2 + 2abxy + b2y2
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.
4x4 + 12x3 + 9x2
The area of a rectangle is x2 + 7x + 12. If its breadth is (x + 3), then find its length.
