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Popular >

simplify (7+8i)^2

Solution

simplify

(7 + 8 i)^{2}

Solution

- 15 + 112 i

Solution steps

(7 + 8 i)^{2}

Apply Perfect Square Formula:

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

(7 + 8 i)^{2} = 7^{2} + 2 \cdot 7 \cdot 8 i + (8 i)^{2}

= 7^{2} + 2 \cdot 7 \cdot 8 i + (8 i)^{2}

Simplify

7^{2} + 2 \cdot 7 \cdot 8 i + (8 i)^{2} : 112 i - 15

= 112 i - 15

Rewrite in standard complex form:

- 15 + 112 i

= - 15 + 112 i

Popular Examples

∣ 8 x - 7 ∣ - 1 = 10

log_{0.5}(7x+5)<= log_{0.5}(5x-3)

lo g_{0.5} (7 x + 5) \leq lo g_{0.5} (5 x - 3)

3 ∣ 2 x - 9 ∣ - 5 < 16

2=-35*(2*x/(-0.00796)-(x/(-0.00796))^2)

2 = - 35 \cdot (2 \cdot \frac{x}{- 0.00796} - (\frac{x}{- 0.00796})^{2})

factor 12x^2-7x-10 factor

12 x^{2} - 7 x - 10

Frequently Asked Questions (FAQ)

What is (7+8i)^2 ?
The solution to (7+8i)^2 is -15+112i