To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(3a)(9ab) - (6a²)(3b)
(3 x 9)(a x a x b) - (6 x 3)(a² x b)
(27)(a¹⁺¹ x b) - (18)(a²b)
27a²b - 18a²b
9a²b

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c² = a² + b²
c² = 3² + 7²
c² = 9 + 49
c² = 58
c = \( \sqrt{58} \)

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 53° - 64° = 63°

So, d° = 64° + 63° = 127°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 53° = 127°

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(9a)(3ab) + (7a²)(6b)
(9 x 3)(a x a x b) + (7 x 6)(a² x b)
(27)(a¹⁺¹ x b) + (42)(a²b)
27a²b + 42a²b
69a²b

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.