Question

3x² - (4 a + 2b) x + a² + 2ab​

Answer 1

Step-by-step explanation:

$3x^{2} -(4a+2b)x+a^{2}+2ab\\=3x^{2} -(4a+2b)x+a(a+2b)\\=3x^{2} -[3a+(a+2b)]x+a(a+2b)\\=3x^{2} -3ax-(a+2b)x+a(a+2b)\\=3x(x-a)-(a+2b)(x-a)\\=(x-a)[3x-(a+2b)]\\=(x-a)(3x-a-2b)$

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