Advertisements
Advertisements
प्रश्न
Simplify:
(3x + 2y)2 + (3x – 2y)2
उत्तर
We have,
(3x + 2y)2 + (3x – 2y)2 = (3x)2 + (2y)2 + 2 × 3x × 2y + (3x)2 + (2y)2 – 2 × 3x × 2y ...[Using the identities, (a + b)2 = a2 + b2 + 2ab and (a – b)2 = a2 + b2 – 2ab]
= 9x2 + 4y2 + 12xy + 9x2 + 4y2 – 12xy
= (9x2 + 9x2) + (4y2 + 4y2) + 12xy – 12xy
= 18x2 + 8y2
APPEARS IN
संबंधित प्रश्न
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 197 × 203
Find the following product: (x + 4) (x + 7)
Find the following product: (3x − 4y) (2x − 4y)
On dividing 57p2qr by 114pq, we get ______.
Simplify:
(ab – c)2 + 2abc
Simplify:
(4.5a + 1.5b)2 + (4.5b + 1.5a)2
Simplify:
(s2t + tq2)2 – (2stq)2
Expand the following, using suitable identities.
(2x – 5y)(2x – 5y)
Expand the following, using suitable identities.
(7x + 5)2
Perform the following division:
(ax3 – bx2 + cx) ÷ (– dx)
