Advertisements
Advertisements
प्रश्न
Verify the following:
(a + b)(a + b)(a + b) = a3 + 3a2b + 3ab2 + b3
बेरीज
Advertisements
उत्तर
Taking L.H.S. = (a + b)(a + b)(a + b)
= (a + b)(a + b)2
= (a + b)(a2 + b2 + 2ab) ...[Using the identity, (a + b)2 = a2 + 2ab + b2]
= a(a2 + 2ab + b2) + b(a2 + 2ab + b2)
= a3 + 2a2b + ab2 + ba2 + 2ab2 + b3
= a3 + 3a2b + 3ab2 + b3 ...[Adding like terms]
= 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
Find the following squares by suing the identities.
(b − 7)2
Using a2 − b2 = (a + b) (a − b), find (1.02)2 − (0.98)2
Expand (5a + 6b)2
Use an expansion formula to find the value.
(97)2
Of which of the binomials given below is m2n2 + 14mnpq + 49p2q2 the expansion?
Use the formula to find the value.
502 × 498
Factors of 9x2 + 6xy are
(a + b)2 = a2 + b2
The area of a circle is given by the expression πx2 + 6πx + 9π. Find the radius of the circle.
Factorise `x^2 + 1/x^2 + 2 - 3x - 3/x`.
