Advertisements
Advertisements
प्रश्न
Simplify:
(a – b) (a2 + b2 + ab) – (a + b) (a2 + b2 – ab)
Advertisements
उत्तर
We have,
(a – b) (a2 + b2 + ab) – (a + b) (a2 + b2 – ab) = a(a2 + b2 + ab) – b(a2 + b2 + ab) – a(a2 + b2 – ab) – b(a2 + b2 – ab)
= a3 + ab2 + a2b – ba2 – b3 – ab2 – a3 – ab2 + a2b – ba2 – b3 + ab2
= (a3 – a3) + (– b3 – b3) + (ab2 – ab2) + (a2b – a2b + a2b – a2b)
= 0 – 2b3 + 0 + 0 + 0
= – 2b3
APPEARS IN
संबंधित प्रश्न
Show that `(4pq + 3q)^2 - (4pq - 3q)^2 = 48pq^2`
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: (82)2 − (18)2
Simplify the following using the identities: \[\frac{8 . 63 \times 8 . 63 - 1 . 37 \times 1 . 37}{0 . 726}\]
Find the following product: (3x + 5) (3x + 11)
Find the following product: (3x − 4y) (2x − 4y)
Find the following product: (p2 + 16) \[\left( p^2 - \frac{1}{4} \right)\]
Expand the following:
(3a + 1) (3a – 2) (3a + 4)
Simplify:
(b2 – 49)(b + 7) + 343
Expand the following, using suitable identities.
(2x – 5y)(2x – 5y)
Carry out the following division:
76x3yz3 ÷ 19x2y2
