Can anyone help me understand how to do this problem? or atleast solve it for me please?
Find the GCF. 56b², 24a² b, and 72 b³
Find the GCF. 56b², 24a² b, and 72 b³
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First, factor all the expressions:
56 b^2 = 2 * 2 * 2 * 7 * b * b = 8 * 7 * b^3
24a^2b = 2 * 2 *2 * 3 * b * a * a = 8 * 3 * b * a^2
72b^3 = 2 * 2 * 2 * 3 * 3 * b * b * b = 8 * 9 * b^3
Then examine these factors and take out the lones that are common to all of them
These are 8 and b
so the GFC is 8b
You use the same technique for finding the LCM
b * b * b = b^3
a * a = a^2
7 = 7
3 * 3 = 9
2 * 2 * 2 = 8
Thus:
7 * 9 * 8 * a^2 * b^3= 504a^2b^3 is the LCM
56 b^2 = 2 * 2 * 2 * 7 * b * b = 8 * 7 * b^3
24a^2b = 2 * 2 *2 * 3 * b * a * a = 8 * 3 * b * a^2
72b^3 = 2 * 2 * 2 * 3 * 3 * b * b * b = 8 * 9 * b^3
Then examine these factors and take out the lones that are common to all of them
These are 8 and b
so the GFC is 8b
You use the same technique for finding the LCM
b * b * b = b^3
a * a = a^2
7 = 7
3 * 3 = 9
2 * 2 * 2 = 8
Thus:
7 * 9 * 8 * a^2 * b^3= 504a^2b^3 is the LCM
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It just means what do they all have in common. What do they all share.
Try not to let phrases like greatest common factor put you off.
56b² = 2*2*2*7*b*b
24a² b = 2*2*2*3*a*a*b
72 b³ = 2*2*2*3*3*b*b*b
They all share 2*2*2*b = 8b
polynomials
Try not to let phrases like greatest common factor put you off.
56b² = 2*2*2*7*b*b
24a² b = 2*2*2*3*a*a*b
72 b³ = 2*2*2*3*3*b*b*b
They all share 2*2*2*b = 8b
polynomials
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8b
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8b^2
Hope i helped! (:
Hope i helped! (: