The Black Death (1347-1351) is often linked to climate change, as the cooler temperatures and crop failures may have contributed to the spread of the plague.

Economic Liberalization in the 1990s aimed to integrate the Indian economy with the global market, promoting inclusive growth through increased opportunities.

The Storming of the Bastille on July 14, 1789, is widely regarded as the event that marked the beginning of the French Revolution.

The Indian National Congress was formed in 1885, marking the beginning of organized political activity in India.

The formation of the Indian National Congress in 1885 is considered the beginning of the organized Indian National Movement.

The Sepoy Mutiny of 1857 is often considered the first major revolt against British rule, marking the beginning of the modern Indian freedom struggle.

The launch of Sputnik 1 by the Soviet Union in 1957 is widely regarded as the event that marked the beginning of the Space Age, initiating the exploration of outer space.

The Fall of the Berlin Wall in 1989 is widely regarded as the event that marked the end of the Cold War.

The Non-Cooperation Movement was launched in 1920, while the Jallianwala Bagh Massacre occurred in 1919.

The 9/11 attacks occurred on September 11, 2001, leading to major changes in global politics.

The correct relation is ΔG = ΔH - TΔS.

Using the power of a power property, (a^m)^n = a^(m*n), we get 2^(3*2) = 2^6.

Expanding (x + 2)(x - 3) gives x^2 - 3x + 2x - 6 = x^2 - x - 6.

Using the power of a product rule, (x^3 * y^2)^2 = x^(3*2) * y^(2*2) = x^6 * y^4.

Distributing 2 gives 2x + 6, and then subtracting 4 results in 2x + 2.

Distributing 2 gives 2 * x + 2 * 3 = 2x + 6.

Distributing gives 3x + 12 - 2x + 2 = x + 14.

Distributing 3 gives 3x + 12, which is the equivalent expression.

Using the property of exponents that states a^m * a^n = a^(m+n), we combine the exponents: 2x + (x + 1) = 3x + 1.

log_10(0.01) can be rewritten as log_10(10^-2) = -2.

log_10(1/100) = log_10(10^-2) = -2.

log_10(100) = 2 and log_10(10) = 1, so 2 + 1 = 3.

Since 1000 is 10^3, log_10(1000) = 3.

Using the property of logarithms, log_5(25) = 2 and log_5(5) = 1. Therefore, log_5(25) + log_5(5) = 2 + 1 = 3, which is log_5(125).

Using the Binomial Theorem, the coefficient of x^3 is given by C(5,3) * (2^3) * (3^2) = 10 * 8 * 9 = 720.

Both 1/4^x and 4^(-x) represent the inverse of 4^x.

The product (x + 1)(x - 1) is a difference of squares, resulting in x^2 - 1.

The product of the roots of a quadratic polynomial ax^2 + bx + c is given by c/a. Here, c = 4 and a = 1, so the product is 4.

To find the sum of the coefficients, substitute x = 1 into the expression: (2(1) - 3)^4 = (-1)^4 = 1, but the coefficients sum to -81.

The sum of the roots is given by -b/a, which is -3/5 for this equation.