(x + 1)((x + 2) + (x - 2)) = (x + 1)(2x) = 2x² + 2x.

(x + 1)(x - 1) = x² - 1, which is the difference of squares.

Using the binomial theorem, (x + 1)^5 = C(5,0)(2)^5 + C(5,1)(2)^4 + C(5,2)(2)^3 + C(5,3)(2)^2 + C(5,4)(2)^1 + C(5,5)(2)^0 = 32 + 80 + 80 + 40 + 10 + 1 = 243.

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

(x + 2)² = x² + 4x + 4; thus, (x + 2)² - (x² + 4) = 4x.

(x + 3)(x - 3) = x² - 9 by the difference of squares formula.

(x + y + z)² = x² + y² + z² + 2xy + 2yz + 2zx by the expansion of the square of a trinomial.

(x + y)(x - y) = x² - y² by the difference of squares identity.

(x - 4)(x + 4) = x² - 16.

Using the power of a power property, (x^2)^3 = x^(2*3) = x^6.

Multiplying three negative ones gives −1.

(−1)^3 = −1.

(−1)² = 1 and (−2)² = 4, so 1 + 4 = 5.

(−1)³ = −1.

(−2)² = 4.

(−5)² = 25.

−7 + (−3) = −10.

(√(49) + √(16)) = 7 + 4 = 11, so 11 / 5 = 2.2, which rounds to 2.

1 astronomical unit (AU) is approximately equal to 1.496 × 10^11 meters, which is the average distance from the Earth to the Sun.

1 Joule is defined as 1 kg·m²/s², which is the product of mass, distance squared, and time squared.

1 light year is the distance light travels in one year, which is approximately 9.46 × 10^15 meters.

100 - 37 = 63.

100 ÷ 4 = 25, so 25 + 6 = 31.

Calculating gives 12 + 15 = 27, and then 27 - 7 = 20.

Following the order of operations, first calculate 3 × 2 = 6. Then, 12 - 6 + 4 = 10.

12 × 12 = 144.

12 × 8 = 96.

12 ÷ (2 + 4) = 12 ÷ 6 = 2.

12 ÷ 4 = 3, then 3 × 3 = 9.

12% of 250 = (12/100) * 250 = 30.