Show that a-b -a-b-2a - b

Given that (a b) × (a+b)=2(a × b) LHS = (a b) × (a+b)=a× a+a × b b × a b × b =0+a × b + a × b 0 [∵ a × a = 0 and a × b= b × a] =2(a × b)= RHS ...

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Factorial

Show that a-b...

Question

Show that $(a - b) \times (a + b) = 2 (a \times b)$

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\sqrt{a^{2} + b} = a + \frac{b}{2 a +} \frac{b}{2 a +} \dots

\sqrt{a^{2} - b} = a - \frac{b}{2 a -} \frac{b}{2 a -} \dots

∣ ∣ ∣ ∣ \begin{matrix} a + b + 2 c & a & b c & b + c + 2 a & b c & a & c + a + 2 b \end{matrix} ∣ ∣ ∣ ∣ = 2 (a + b + c)^{3}

∣ ∣ ∣ ∣ \begin{matrix} a - b - c & 2 a & 2 a 2 b & b - c - a & 2 b 2 c & 2 c & c - a - b \end{matrix} ∣ ∣ ∣ ∣ = (a + b + c)^{3}

x = \frac{4 a b}{a + b}

\frac{x + 2 a}{x - 2 a} + \frac{x + 2 b}{x - 2 b} = 2

a \neq 0, b \neq 0

a \neq b

∣ ∣ ∣ ∣ \begin{matrix} a - b - c & 2 a & 2 a 2 b & b - c - a & 2 b 2 c & 2 c & c - a - b \end{matrix} ∣ ∣ ∣ ∣ = {(a + b + c)}^{3}

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