Chapter 6: Q 204. (page 727)

In the following exercises, multiply
$- 3 x^{2} (7 x^{2} + 10 x - 1)$

Short Answer

Expert verified

The simplified value of the given expression is $- 21 x^{4} - 30 x^{3} + 3 x^{2}$ .

Step by step solution

Step 1. Given information.

The given expression is:

$- 3 x^{2} (7 x^{2} + 10 x - 1)$

We have to multiply the given expression.

Step 2. Use the distributive property to multiply.

$- 3 x^{2} (7 x^{2} + 10 x - 1)$

Now distribute,

$= - 3 x^{2} \cdot 7 x^{2} + (- 3 x^{2}) \cdot 10 x - (- 3 x^{2}) \cdot 1$

Simplify,

$= - 21 x^{4} - 30 x^{3} + 3 x^{2}$

Therefore, the value of the given expression $- 3 x^{2} (7 x^{2} + 10 x - 1)$ is $- 21 x^{4} - 30 x^{3} + 3 x^{2}$ .

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In the following exercises, multiply
$- 3 x^{2} (7 x^{2} + 10 x - 1)$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Use the distributive property to multiply.

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Step by step solution

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In the following exercises, multiply
$- 3 x^{2} (7 x^{2} + 10 x - 1)$