Question

express in a+ib from 3(7+7i)+i(7+i7)​

Answer 1

Answer:

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Step-by-step explanation:

= 3(7+7i)+i(7+i7)

= 21+21i+7i+7i^2

= 21+28i+7i^2 answer

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Answer 2

Answer:

The given complex number in the form of a + ib is 14 + 28i.

Step-by-step-explanation:

We have given a complex number.

We have to express it in the standard form.

The given complex number is 3 ( 7 + 7i ) + i ( 7 + i7 ).

We know that,

The standard form of a complex number is a + ib; a, b are real numbers and i² = - 1.

Now,

3 ( 7 + 7i ) + i ( 7 + i7 )

⇒ 21 + 21i + i ( 7 + 7i )

⇒ 21 + 21i + 7i + 7i²

⇒ 21 + 28i + 7 * ( - 1 )

⇒ 21 + 28i - 7

⇒ 21 - 7 + 28i

⇒ 14 + 28i

∴ The given complex number in the form of a + ib is 14 + 28i.