What is expand (x-\lceil x\rceil)^2 ?

The solution to expand (x-\lceil x\rceil)^2 is x^2-2x\lceil x\rceil+\lceil x\rceil ^2

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expand (x-\lceil x\rceil)^2

expand

(x - ⌈ x ⌉)^{2}

x^{2} - 2 x ⌈ x ⌉ + ⌈ x ⌉^{2}

Solution steps

(x - ⌈ x ⌉)^{2}

Apply Perfect Square Formula:

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

a = x, b = ⌈ x ⌉

= x^{2} - 2 x ⌈ x ⌉ + ⌈ x ⌉^{2}

\frac{36 x ( 2 x - y ) ^{2}}{y ^{3}}

2 Lx - 3 x^{2}

\frac{5 x + 4}{( x + 12 ) ( x - 12 )}

\frac{s + 7}{( s + 2 ) ( s - 5 )}

c + 4

What is expand (x-\lceil x\rceil)^2 ?
The solution to expand (x-\lceil x\rceil)^2 is x^2-2x\lceil x\rceil+\lceil x\rceil ^2