What is expand (6e-6r)(2e-9r) ?

The solution to expand (6e-6r)(2e-9r) is 54r^2-66er+12e^2

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expand (6e-6r)(2e-9r)

expand

(6 e - 6 r) (2 e - 9 r)

54 r^{2} - 66 er + 12 e^{2}

Solution steps

(6 e - 6 r) (2 e - 9 r)

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = 6 e, b = - 6 r, c = 2 e, d = - 9 r

= 6 e 2 e + 6 e (- 9 r) + (- 6 r) \cdot 2 e + (- 6 r) (- 9 r)

Apply minus-plus rules

+ (- a) = - a, (- a) (- b) = ab

= 6 \cdot 2 ee - 6 \cdot 9 er - 6 \cdot 2 er + 6 \cdot 9 rr

Simplify

6 \cdot 2 ee - 6 \cdot 9 er - 6 \cdot 2 er + 6 \cdot 9 rr : 54 r^{2} - 66 er + 12 e^{2}

= 54 r^{2} - 66 er + 12 e^{2}

(sin (x) - 1)^{2}

(e - 1)^{3}

\frac{1}{8} (3 + 4 cos (2 x) + cos (4 x))

(e^{x} + 2)^{2}

(cos (2 x) + sin (2 x))^{2}

What is expand (6e-6r)(2e-9r) ?
The solution to expand (6e-6r)(2e-9r) is 54r^2-66er+12e^2