Advertisements
Advertisements
Question
Show that: (4pq + 3q)2 − (4pq − 3q)2 = 48pq2
Advertisements
Solution
LHS
\[ = \left( 4pq + 3q \right)^2 - \left( 4pq - 3q \right)^2 \]
\[ = 4\left( 4pq \right)\left( 3q \right) \left[ \because \left( a + b \right)^2 - \left( a + b \right)^2 = 4ab \right]\]
\[ = 48p q^2 \]
= RHS
Because LHS is equal to RHS, the given equation is verified.
RELATED QUESTIONS
Find each of the following product: \[( - 7xy) \times \left( \frac{1}{4} x^2 yz \right)\]
Find each of the following product: \[\left( \frac{7}{9}a b^2 \right) \times \left( \frac{15}{7}a c^2 b \right) \times \left( - \frac{3}{5} a^2 c \right)\]
Find each of the following product: \[\left( \frac{4}{3}p q^2 \right) \times \left( - \frac{1}{4} p^2 r \right) \times \left( 16 p^2 q^2 r^2 \right)\]
Find each of the following product:
(2.3xy) × (0.1x) × (0.16)
Express each of the following product as a monomials and verify the result in each case for x = 1:
(x2)3 × (2x) × (−4x) × (5)
Find the following product:
−5a(7a − 2b)
Simplify: 2x2(x3 − x) − 3x(x4 + 2x) − 2(x4 − 3x2)
Simplify:
(2x2 + 3x − 5)(3x2 − 5x + 4)
Simplify:
(x2 − 3x + 2)(5x − 2) − (3x2 + 4x − 5)(2x − 1)
What is (−4ab) × (2a²b³)?
