-3+ 4d - 2f + 3d + 6f - 4 - 8

Mathematics

1 answer:

Igoryamba2 years ago

5 0

Answer:

Explanation:

-3 + 4d - 2f + 3d + 6f - 4 - 8

= −3 + 4d + −2f + 3d + 6f + −4 + −8

Combine Like Terms

= −3 + 4d + −2f + 3d + 6f + −4 + −8

(4d + 3d) + (−2f + 6f) + (−3 + −4 + −8)

7d + 4f + −15

= 7d + 4f - 15

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Sergeu [11.5K]

Answer:

43-7i

Step-by-step explanation:

We are given the expression:

$\displaystyle \large{(3 - 4i)(6i + 7) - (2 - 3i)}$

First, expand 3-4i in 6i+7. To expand binomial with binomial, first we expand 3 in 6i+7 then expand -4i in 6i+7.

$\displaystyle \large{[(3 \cdot 6i) + (3 \cdot 7) + ( - 4i \cdot 6i) + ( - 4i \cdot 7)]- (2 - 3i)} \\ \displaystyle \large{[18i + 21 - 24 {i}^{2} - 28i]- (2 - 3i)}$

Now combine like terms.

$\displaystyle \large{[ - 10i+ 21 - 24 {i}^{2} ]- (2 - 3i)}$

Imaginary Unit

$\displaystyle \large{i = \sqrt{ - 1} } \\ \displaystyle \large{ {i}^{2} = - 1 }$

Therefore:-

$\displaystyle \large{[ - 10i+ 21 - 24 ( - 1) ]- (2 - 3i)} \\ \displaystyle \large{[ - 10i+ 21 + 24]- (2 - 3i)} \\ \displaystyle \large{[ - 10i+ 45]- (2 - 3i)}$