Question

simplifique as expressões:

[ ( - 10 ab² ). ( - 3ab )] : ( 2a - 5a)

( - 18 a²x + 32a²x - 26a²x ) : ( - 17a² + 14a² + 2a² )

( 0,2m ). ( 3,4m² - 8,4m² + 2m² )

Answer 1

• O resultado dessas expressões algébricas são iguais a  

• A) $\large\boxed{\sf -10ab^3}$

• B) $\Large\boxed{\sf 12x }$

• C) $\large\boxed{\sf -0.6m^3 }$

Resolução:

• Expressões algébricas são semelhantes a expressões numéricas a diferença das duas é que as expressões algébricas usam mais letras. Para responder uma expressão algébrica é preciso Somar e subtrair os coeficientes e depois repetir a parte literal.

A)

$\sf \left[\:\left(\:-\:10\:ab^2\:\right)\cdot \left(\:-\:3ab\:\right)\right]\:\div \:\left(\:2a\:-\:5a\right)\\\\\\\sf \displaystyle \frac{\left(-10ab^2\right)\left(-3ab\right)}{2a-5a}\\\\\\\sf =\frac{10ab^2\cdot \:3ab}{2a-5a}\\\\\\\sf =\frac{30a^2b^3}{2a-5a}\\\\\\\sf =\frac{30a^2b^3}{-3a}\\\\\\\sf =-\frac{30a^2b^3}{3a}\\\\\\\sf =\frac{10a^2b^3}{a}\\\\\\\\\large\boxed{\sf -10ab^3}$

B)

$\sf \displaystyle \left(\:-\:18\:a^2x\:+\:32a^2x\:-\:26a^2x\:\right)\:\div\:\left(\:-\:17a^2\:+\:14a^2\:+\:2a^2\:\right)\\\\\\\sf \frac{-18a^2x+32a^2x-26a^2x}{-17a^2+14a^2+2a^2}\\\\\\\sf =\frac{-12a^2x}{-17a^2+14a^2+2a^2}\\\\\\\sf =\frac{-12a^2x}{-a^2}\\\\\\\sf =\frac{12a^2x}{a^2}\\\\\\\sf\Large\boxed{\sf 12x }$

C)

$\sf \displaystyle \left(\:0,\:2m\:\right)\cdot \left(\:3,\:4m^2\:-\:8,\:4m^2\:+\:2m^2\:\right)\\\\\\\sf =0.2m\left(3.4m^2-8.4m^2+2m^2\right)\\\\\\\sf =0.2m\left(-3m^2\right)\\\\\\\sf =-0.6m^2m\\\\\\\sf =-0.6m^{1+2}\\\\\\\\\large\boxed{\sf -0.6m^3 }$

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