Advertisements
Advertisements
प्रश्न
Simplify:
(3x + 2y)2 + (3x – 2y)2
Advertisements
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: 1.8 × 2.2
Simplify the following using the identities: \[\frac{8 . 63 \times 8 . 63 - 1 . 37 \times 1 . 37}{0 . 726}\]
Find the following product: (x + 7) (x − 5)
Find the following product: (y2 − 4) (y2 − 3)
Expand the following, using suitable identities.
(2x + 9)(2x – 7)
Expand the following, using suitable identities.
(x2 + y2)(x2 – y2)
Expand the following, using suitable identities.
(a2 + b2)2
Using suitable identities, evaluate the following.
(103)2
Using suitable identities, evaluate the following.
(1005)2
Using suitable identities, evaluate the following.
105 × 95
