Advertisements
Advertisements
प्रश्न
Verify the following:
(5x + 8)2 – 160x = (5x – 8)2
बेरीज
Advertisements
उत्तर
Taking L.H.S. = (5x + 8)2 – 160x
= (5x)2 + (8)2 + 2 × 5x × 8 – 160x ...[Using the identity, (a + b)2 = a2 + 2ab + b2]
= (5x)2 + (8)2 + 80x – 160x
= (5x)2 + (8)2 – 80x
= (5x)2 + (8)2 – 2 × 5x × 8
= (5x – 8)2 ...[∵ a2 + b2 – 2ab = (a – b)2]
= R.H.S.
Hence verified.
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Algebraic Expression, Identities and Factorisation - Exercise [पृष्ठ २३८]
APPEARS IN
संबंधित प्रश्न
Use a suitable identity to get the following products.
(2y + 5) (2y + 5)
Simplify (7m − 8n)2 + (7m + 8n)2
Simplify (m2 − n2m)2 + 2m3n2
Using identities, evaluate 8.92
Using a2 − b2 = (a + b) (a − b), find 1532 − 1472
Expand `("a"/2+"b"/3)^2`
Expand the following square, using suitable identities
(2x + 5)2
If a + b = 5 and a2 + b2 = 13, then ab = ?
If p + q = 12 and pq = 22, then find p2 + q2.
If a + b = 25 and a2 + b2 = 225, then find ab.
