Pls help me factorize.Thanks!
1 answer:
We can change the sign of the second term, so that the two parenthesis are the same:
Now, both terms have in common a 3, becase the numeric factors are 3 and 6. If we factor the 3, we have
The parenthesis (a-1) is also in common, so we can factor it as well:
Finally, both terms in the parenthesis contain , because it's the power of b with the lowest exponent:
So, the factorization is
You can swap the order of the four factors (3, b^2, a-1 and 2b-1) as you like: the multiplication is commutative.
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now, the client declined to paint the smaller one
so hmmm as I read... well, we dunno how many coats will go to the smaller room for one, we know the larger will use 2 coats, or 2x.. if we assume the smaller room was going to use say 1 coat or 1/2x
then one can say the painter bought enough for both rooms, 1coat for the small one and 2coats for the larger one
so, the paint the larger room, you'll 2x of paint, for 2coatsand to paint the smaller room, you'll need 1/2 x, because x gallons is how much is needed for the larger room, but the larger room is twice as big, thus the smaller room uses 1/2 of that in gallons
thus, with those assumptions, that the small room will use only 1 coat
that's who many gallons are needed for 1 coat in the larger roomrecall "x" is 1coat for the larger room
now, the client decides to skip the smaller roomso, the painter will only need 2x gallons then
he bought 8 gallons, 8 - 6.4, he's got left 1.6 gallons
now, "x" is how many gallons to paint the larger room with only one coat, however, the larger room uses 2 coats, so, the larger room uses 2x of paint
now, the client declined to paint the smaller one
so hmmm as I read... well, we dunno how many coats will go to the smaller room for one, we know the larger will use 2 coats, or 2x.. if we assume the smaller room was going to use say 1 coat or 1/2x
then one can say the painter bought enough for both rooms, 1coat for the small one and 2coats for the larger one
so, the paint the larger room, you'll 2x of paint, for 2coatsand to paint the smaller room, you'll need 1/2 x, because x gallons is how much is needed for the larger room, but the larger room is twice as big, thus the smaller room uses 1/2 of that in gallons
thus, with those assumptions, that the small room will use only 1 coat
that's who many gallons are needed for 1 coat in the larger roomrecall "x" is 1coat for the larger room
now, the client decides to skip the smaller roomso, the painter will only need 2x gallons then
he bought 8 gallons, 8 - 6.4, he's got left 1.6 gallons