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Popular >

simplify (4+7i)^2

Solution

simplify

(4 + 7 i)^{2}

Solution

- 33 + 56 i

Solution steps

(4 + 7 i)^{2}

Apply Perfect Square Formula:

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

(4 + 7 i)^{2} = 4^{2} + 2 \cdot 4 \cdot 7 i + (7 i)^{2}

= 4^{2} + 2 \cdot 4 \cdot 7 i + (7 i)^{2}

Simplify

4^{2} + 2 \cdot 4 \cdot 7 i + (7 i)^{2} : 56 i - 33

= 56 i - 33

Rewrite in standard complex form:

- 33 + 56 i

= - 33 + 56 i

Popular Examples

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simplify sqrt(1.15^2+(-3.43)^2)simplify

1.1 5^{2} + (- 3.43)^{2}

5/3 (2-x)>= 2/3 (3-5x)

\frac{5}{3} (2 - x) \geq \frac{2}{3} (3 - 5 x)

-1/2 (2x+1)<=-3/8 (x+2)

- \frac{1}{2} (2 x + 1) \leq - \frac{3}{8} (x + 2)

- \frac{x}{7} = - 5

Frequently Asked Questions (FAQ)

What is (4+7i)^2 ?
The solution to (4+7i)^2 is -33+56i