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Popular >

expand 2(k+1)^2

Solution

expand

2 (k + 1)^{2}

Solution

2 k^{2} + 4 k + 2

Solution steps

2 (k + 1)^{2}

Expand

(k + 1)^{2} : k^{2} + 2 k + 1

= 2 (k^{2} + 2 k + 1)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

2 (k^{2} + 2 k + 1) = 2 k^{2} + 2 \cdot 2 k + 2 \cdot 1

= 2 k^{2} + 2 \cdot 2 k + 2 \cdot 1

Simplify

2 k^{2} + 2 \cdot 2 k + 2 \cdot 1 : 2 k^{2} + 4 k + 2

= 2 k^{2} + 4 k + 2

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Frequently Asked Questions (FAQ)

What is expand 2(k+1)^2 ?
The solution to expand 2(k+1)^2 is 2k^2+4k+2