Advertisements
Advertisements
प्रश्न
Factorize 64a3 +125b3 + 240a2b + 300ab2
उत्तर
64a3 +125b3 + 240a2b + 300ab2
= (4a)3 + (5b)3 + 3 x (4a)2 x 5b + 3(4a)(5b)2
= (4a + 5b)3 [∵ a3 + b3 + 3a2b + 3ab2 = (a + b)3]
= (4a + 5b)(4a + 5b)(4a + 5b)
∴ 64a3 +125b3 + 240a2b + 300ab2 = (4a + 5b)(4a + 5b)(4a + 5b)
shaalaa.com
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
APPEARS IN
संबंधित प्रश्न
Factorize `7(x - 2y)^2 - 25(x - 2y) + 12`
Factorize the following expressions:
54x6y + 2x3y4
(a – 3b)3 + (3b – c)3 + (c – a)3
Find the value of x3 + y3 − 12xy + 64, when x + y =−4
If a + b + c = 0, then write the value of a3 + b3 + c3.
Divide: 12x3y - 8x2y2 + 4x2y3 by 4xy
Divide: 6x3 + 5x2 − 21x + 10 by 3x − 2
Divide: 6x2 - xy - 35y2 by 2x - 5y
Write in the form of an algebraic expression:
Area of a square is square of its side.
–b – 0 is equal to ______.
