Multiply (5�ã5 - 15�ã7)(3�ã5 +9�ã7)
ANd the radical sign keeps going away when I try to post this. It is supposed to be:
(5 radical sign 5 - 15 radical sign 7)x (3 radical sign 5 + 9 radical sign 7)
Am I supposed to use th edistributive law? I am so confused.
(5√5 - 15√7)(3√5 + 9√7)
= 15(5) + 45√35 - 45√35 - 135(7)
= -870
or
5(√5-3√7)(3)(√5 + 3√7) , do you see the difference of square pattern?
= 15(5 - 63)
= -870
yes I do now. I don't know why I am having such a hard time. Thank you so much! Now I can do my other problems.
To multiply the given expression, which is (5�ã5 - 15�ã7)(3�ã5 + 9�ã7), we can use the FOIL method. FOIL stands for First, Outer, Inner, Last, and it allows us to multiply binomials. Let's break down the steps:
First, we'll multiply the first terms of each binomial:
(5�ã5)(3�ã5) = 5 * 3 * (�ã5 * �ã5) = 15 * �ã25 = 15�ã25
Next, we'll multiply the outer terms of each binomial:
(5�ã5)(9�ã7) = 5 * 9 * (�ã5 * �ã7) = 45 * �ã35 = 45�ã35
Now, we'll multiply the inner terms of each binomial:
(-15�ã7)(3�ã5) = -15 * 3 * (�ã7 * �ã5) = -45 * �ã35 = -45�ã35
Lastly, we'll multiply the last terms of each binomial:
(-15�ã7)(9�ã7) = -15 * 9 * (�ã7 * �ã7) = -135 * �ã49 = -135�ã49
Now, we combine all these terms:
15�ã25 + 45�ã35 - 45�ã35 - 135�ã49
Notice that the two middle terms (-45�ã35 and +45�ã35) cancel each other out, as they are additive inverses.
Simplifying the expression, we are left with:
15�ã25 - 135�ã49
So, the final answer is 15�ã25 - 135�ã49.