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Sagot :

Tu dois utiliser la distributivité : (a+b)(c+d) = ac +ad + bc +bd.

[tex]a = ( 2x + \frac{3}{7} )( \frac{2}{3} - 4x) \\ a = \frac{4x}{3} - 8 {x}^{2} + \frac{6}{21} - \frac{12x}{7} \\ a = - 8 {x}^{2} - \frac{12x \times 3}{7 + \times 3} + \frac{4x \times 7}{3 \times 7} + \frac{6}{21} \\ a = - 8 {x}^{2} - \frac{36x}{21} + \frac{28x}{21} + \frac{6}{21} \\ a = - 8 {x}^{2} - \frac{8x }{21} + \frac{2}{7} [/tex]

[tex]b = 3x - (5x - 1)(2 - x) \\ b = 3x - (10x - 5 {x}^{2} - 2 + x) \\ b = 3x - 10x + 5 {x}^{2} + 2 - x \\ b = 5 {x}^{2} - 6x + 2 \\ b = 5 {x}^{2} - 2( - 3x + 1)[/tex]

Réponse:

pourA:

A=(2x+3/7)(2/3_4x)

2x*2/3_2x*4x+3/7*2/3_3/7*4x

4x/3_8x²+6/21_12x/7

8x²+6/21_4/21

pourB:

B=3x-(5x-1)(2-x)

3x-5x*2+5x*x-1*2+1*x

3x-10x+5x²-2+x

-7x+5x²-2+x

voila j'espere que j'aide très bien

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