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Popular >

expand (3z+Δz)^2

Solution

expand

(3 z + Δ z)^{2}

Solution

9 z^{2} + 6Δ z^{2} + Δ^{2} z^{2}

Solution steps

(3 z + Δ z)^{2}

Apply Perfect Square Formula:

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

a = 3 z, b = Δ z

= (3 z)^{2} + 2 \cdot 3 z Δ z + (Δ z)^{2}

Simplify

(3 z)^{2} + 2 \cdot 3 z Δ z + (Δ z)^{2} : 9 z^{2} + 6Δ z^{2} + Δ^{2} z^{2}

= 9 z^{2} + 6Δ z^{2} + Δ^{2} z^{2}

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Frequently Asked Questions (FAQ)

What is expand (3z+Δz)^2 ?
The solution to expand (3z+Δz)^2 is 9z^2+6Δz^2+Δ^2z^2