Question

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>Dados:
A= 6x² - 5x -6
B= 2x² + 5x -12
C= 2x - 3

Calcule:

t(a*b) * c

Answer 1

Sendo,
$A=6x^{2}-5x-6$
$B=2x^{2}+5x-12$
$C=2x-3$

Queremos simplificar a expressão
$(A+B)*C$
Logo, iremos substituir as letras por seus valores.
$((6x^{2}-5x-6)+(2x^{2}+5x-12))*(2x-3)$
$(6x^{2}+2x^{2}-5x+5x-6-12)*(2x-3)$
$(8x^{2}-18)(2x-3)$
$(8x^{2}-18)(2x)-3(8x^{2}-18)[tex] [tex]16x^{3}-36x-24x^{2}+54$
$16x^{3}-24x^{2}-36x+54$
Logo,
$(A+B)*C = 16x^{3}-24x^{2}-36x+54$