(2x - 5)(3x + 4) = 6x² + 8x - 15x - 20 = 6x² - 7x - 20.

2x(x) + 2x(4) - 5(x) - 5(4) = 2x² + 8x - 5x - 20 = 2x² - 10x - 20.

(x + 1)(x + 1) = x² + 2x + 1 (Perfect square)

(x + 2)(x - 2) = x² - 4 using the difference of squares.

(x + 2)(x - 3) = x² - 3x + 2x - 6 = x² - x - 6.

(x + 5)(x - 5) = x² - 25, which is a difference of squares.

Expanding using the distributive property: (x)(x) + (x)(5) + (-2)(x) + (-2)(5) = x^2 + 5x - 2x - 10 = x^2 + 3x - 10.

(2x - 3)² = 4x² - 12x + 9 by the square of a binomial.

(2x - 3y)² = 4x² - 12xy + 9y² by applying the square of a binomial.

(x + 2)(x - 2) = x² - 2² = x² - 4 by the difference of squares.

In a dihybrid cross, the expected genotypic ratio in the F2 generation is 9:3:3:1.

The major product of the elimination reaction of 2-bromobutane is But-2-ene due to the formation of the more stable alkene.

Osmotic pressure (π) can be calculated using the formula π = iCRT. For NaCl, i = 2, C = 0.5 M, R = 0.0821 L·atm/(K·mol), and T = 298 K, resulting in approximately 24.6 atm.

The reaction of 1-chlorobutane with zinc in dry ether leads to the formation of Butane via Wurtz reaction.

The expected product is Butanol due to nucleophilic substitution with hydroxide ion.

The expected ratio of phenotypes in a cross between two purebred parents with contrasting traits is 1:1 in the F1 generation when they are crossed with each other.

The magnetic field at the center of a circular loop of radius R carrying a current I is given by B = μ₀I/(2πR).

The magnetic field at the center of a circular loop is given by B = μ₀I/(2R).

The magnetic field B at a distance r from a long straight conductor carrying current I is given by B = (μ₀I)/(2πr).

The magnetic field B at a distance r from a long straight wire carrying current I is given by B = (μ₀I)/(2πr).

The equation xy = c represents a family of hyperbolas with varying constant c.

The equation x^2/a^2 + y^2/b^2 = 1 represents a family of ellipses with semi-major axis a and semi-minor axis b.

The equation y = a sin(bx + c) represents a family of sine waves with amplitude a and phase shift c.

The equation y = e^(kx) represents a family of exponential functions where 'k' determines the growth rate.

The equation y = k/x represents a family of hyperbolas with varying asymptotes depending on the value of 'k'.

Faraday's constant is approximately 96485 C/mol.

Faraday's constant is approximately 96485 C/mol.

The pistil is the female reproductive part of the flower, consisting of the ovary, style, and stigma.

Using M1V1 = M2V2, (1 M)(0.1 L) = M2(0.5 L). M2 = 0.2 M.

Using the principle of conservation of energy, the heat lost by water equals the heat gained by ice. Solving gives a final temperature of 20°C.