Question

(1,4c-0,7a³)(1,4c+0,7a³)

Answer 1

$\displaystyle\bf\\\Big(1,4c-0,7a^{3} \Big)\Big(1,4c+0,7a^{3} \Big)=\Big(1,4c\Big)^{2} -\Big(0,7a^{3} \Big)^{2}=1,96c^{2} -0,49a^{6}$

Answer 2

To multiply the expression (1.4c - 0.7a³)(1.4c + 0.7a³), you can use the distributive property, also known as the FOIL method (First, Outer, Inner, Last). Here's how you do it step by step:

(1.4c - 0.7a³)(1.4c + 0.7a³)

First: Multiply the first terms in each parentheses. (1.4c * 1.4c) = 1.96c²

Outer: Multiply the first term in the first parentheses by the second term in the second parentheses. (1.4c * 0.7a³) = 0.98ac³

Inner: Multiply the second term in the first parentheses by the first term in the second parentheses. (-0.7a³ * 1.4c) = -0.98ac³

Last: Multiply the second terms in each parentheses. (-0.7a³ * 0.7a³) = -0.49a⁶

Now, you can combine these terms: 1.96c² + 0.98ac³ - 0.98ac³ - 0.49a⁶

Notice that the "0.98ac³" and "-0.98ac³" terms cancel each other out, leaving you with:

1.96c² - 0.49a⁶

So, the product of (1.4c - 0.7a³)(1.4c + 0.7a³) simplifies to:

1.96c² - 0.49a⁶