Question

3. Descompune in factori:
a) 8x (2x-1) - 6(2x - 1);
b) (3x+1)²- 5x(3x+1) - (3x+1)
c) (x - 1)(2x+3) - (x-1) (5x-1)
d) 3xV2(2x + 1) +5V2(2x+1) - 7x²V2(2x+1) ​

Answer 1

Răspuns:

Bună,

$a)8x(2x - 1) - 6(2x - 1) = \\ (2x - 1)(8x - 6) = \\ \blue{2(2x - 1)(4x - 3)}$

$b)(3x + 1) ^{2} - 5x(3x + 1) - (3x + 1) = \\ (3x + 1)(3x + 1 - 5x - 1) = \\ (3x + 1)(3x - 5x) = \\ \pink{ - 2x(3x + 1)}$

$c)(x - 1)(2x + 3) - (x - 1)(5x + 1) = \\ (x - 1)[2x + 3 - (5x - 1)] = \\ (x - 1)(2x + 3 - 5x + 1) = \\ \green{ (x - 1)( - 3x + 4)}$

$d)3x \sqrt{2} (2x + 1) + 5 \sqrt{2} (2x + 1) - 7x ^{2} \sqrt{2}(2x + 1) = \\ (2x + 1)(3x \sqrt{2} + 5 \sqrt{2} - 7x ^{2} \sqrt{2} ) = \\ \orange{ \sqrt{2}(2x + 1)(3x + 5 - 7x ^{2}) }$

Sper că te-am ajutat.