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Popular >

simplify (k+3i)^2(1-i)^2

Solution

simplify

(k + 3 i)^{2} (1 - i)^{2}

Solution

(- i + 1)^{2} (k + 3 i)^{2}

Solution steps

(k + 3 i)^{2} (1 - i)^{2}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

(k + 3 i)^{2} (- i + 1)^{2} = ((k + 3 i) (- i + 1))^{2}

= ((k + 3 i) (- i + 1))^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= (k + 3 i)^{2} (- i + 1)^{2}

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Frequently Asked Questions (FAQ)

What is (k+3i)^2(1-i)^2 ?
The solution to (k+3i)^2(1-i)^2 is (-i+1)^2(k+3i)^2