simplify 3(1+i)^2

Solution

simplify

3 (1 + i)^{2}

6 i

Solution steps

3 (1 + i)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(1 + i)^{2} = 1^{2} + 2 \cdot 1 i + i^{2}

= 3 (1^{2} + 2 \cdot 1 i + i^{2})

Simplify

1^{2} + 2 \cdot 1 i + i^{2} : 2 i

= 3 \cdot 2 i

Multiply the numbers:

3 \cdot 2 = 6

= 6 i

2 cos (x) (- sin (x))

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\frac{( 8.98 - 8.976 )}{8.98}

4 (- 8 x + 5) - (- 33 x - 26)