Advertisements
Advertisements
Question
Simplify:
(3x + 2y)2 – (3x – 2y)2
Advertisements
Solution
We have,
(3x + 2y)2 – (3x – 2y)2 = [(3x + 2y) + (3x – 2y)][(3x + 2y) – (3x – 2y)] ...[Using the identity, a2 – b2 = (a + b)(a – b)]
= (3x + 2y + 3x – 2y)(3x + 2y – 3x + 2y)
= 6x × 4y
= (6 × 4) × xy
= 24xy
APPEARS IN
RELATED QUESTIONS
Show that `(4pq + 3q)^2 - (4pq - 3q)^2 = 48pq^2`
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 197 × 203
Simplify the following using the identities: 1.73 × 1.73 − 0.27 × 0.27
Find the following product: (3x − 4y) (2x − 4y)
Find the following product: (x2 + 4) (x2 + 9)
Find the following product: (p2 + 16) \[\left( p^2 - \frac{1}{4} \right)\]
By using identity evaluate the following:
`1 + 1/8 - 27/8`
Simplify:
(2.5m + 1.5q)2 + (2.5m – 1.5q)2
Using suitable identities, evaluate the following.
105 × 95
Carry out the following division:
51x3y2z ÷ 17xyz
