Question

find factor of 3x²-12x using identities​

Answer 1

$Given \: 3x^{2} - 12x$

$= (3x)\times x - (3x) \times 4$

$= 3x( x - 4)$

$= 3x[ (\sqrt{x})^{2} - 2^{2} ]$

$= 3x(\sqrt{x}+2)(\sqrt{x}-2)$

/* By algebraic identity */

$\boxed{\pink{ a^{2} - b^{2} = (a+b)(a-b) }}$

Therefore.,

$\red{Factors \:of \: 3x^{2} - 12x}$

$\green {= 3x(\sqrt{x}+2)(\sqrt{x}-2) }$

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