What is i(9-7i)(5-3i) ?

The solution to i(9-7i)(5-3i) is 62+24i

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simplify i(9-7i)(5-3i)

simplify

i (9 - 7 i) (5 - 3 i)

62 + 24 i

Solution steps

i (9 - 7 i) (5 - 3 i)

Apply complex arithmetic rule:

(a + bi) (c + d i) = (a c - b d) + (a d + b c) i

= i ((9 \cdot 5 - (- 7) (- 3)) + (9 (- 3) - 7 \cdot 5) i)

Simplify

(9 \cdot 5 - (- 7) (- 3)) + (9 (- 3) - 7 \cdot 5) i : 24 - 62 i

= i (24 - 62 i)

Apply the distributive law:

a (b - c) = ab - a c

i (24 - 62 i) = i 24 - i 62 i

= i 24 - i 62 i

i 24 = 24 i

- i 62 i = 62

= 24 i + 62

Rewrite in standard complex form:

62 + 24 i

= 62 + 24 i

\frac{- 4}{- 2}

\frac{3 - 2 x}{( x + 2 ) ( 3 - x )} \geq 0

2 - 5 x^{2} + 3 x \geq 0

- 16 \cdot - 81

5 b + 11 = 56 - 4 b