What is expand (ln(y)-by)^2 ?

The solution to expand (ln(y)-by)^2 is ln^2(y)-2byln(y)+b^2y^2

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expand (ln(y)-by)^2

expand

(ln (y) - b y)^{2}

ln^{2} (y) - 2 b y ln (y) + b^{2} y^{2}

Solution steps

(ln (y) - b y)^{2}

Apply Perfect Square Formula:

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

a = ln (y), b = b y

= ln^{2} (y) - 2 ln (y) b y + (b y)^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= ln^{2} (y) - 2 b y ln (y) + b^{2} y^{2}

\frac{( x + 5 ) ( x + 1 )}{- 2 x + 3}

e x p an - 8 (x - 3)

\frac{( x ^{2} + x y ) d y}{d x}

(y^{2} - 1) \frac{d x}{d y}

(c + Δ x)^{3}

What is expand (ln(y)-by)^2 ?
The solution to expand (ln(y)-by)^2 is ln^2(y)-2byln(y)+b^2y^2