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شائع >

simplify (1-3yi)^2

الحلّ

simplify

(1 - 3 y i)^{2}

الحلّ

(1 - 9 y^{2}) - 6 y i

خطوات الحلّ

(1 - 3 y i)^{2}

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

:فعّل صيغة الضرب المختصر

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

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

1^{2} = 1

- 2 \cdot 1 \cdot 3 y i = - 6 y i

(3 y i)^{2} = - 9 y^{2}

= 1 - 6 y i - 9 y^{2}

Rewrite in standard complex form:

(1 - 9 y^{2}) - 6 y i

= (1 - 9 y^{2}) - 6 y i

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