Question

6a^2-2ab-15b^2

Answer 1

you want to factor it?

Answer 2

This isn't going t be easily factorable :(

Answer 3

yes factor completely someone gave me the answer i just dont know how they got it

Answer 4

was it:

6a^2 + b(-2a - 15b) ?

or:

6(a- b/6)^2 - (91b^2 / 6)

Answer 5

no its (a+3b)(a-5b)

Answer 6

how u get the term 6a^2 with (a+3b)(a-5b)

Answer 7

yeah, i think your forgot about the 6

Answer 8

you*

Answer 9

GCF and break down

Answer 10

sorry the 6 was a typo the problem is a^2-2ab-15b^2

Answer 11

ah okay, that's easier then. basically, start by finding two numbers which MULTIPLY to -15 but ADD to get -2

Answer 12

thats 5 &-3

Answer 13

actually
it's -5 and 3

Answer 14

be careful with your signs

Answer 15

ok i see it... ive always had a problem with signs

Answer 16

thank you

Answer 17

np

Answer 18

just remember you wanted -2 in this case. not 2. -5 + 3 = -2, while 5 - 3 = 2

Answer 19

ok but what about the A's and B's

Answer 20

\[\large a^2-2ab-15b^2\] what two numbers multiply to give you -15 but add to give you -2?\[\large -5 \ \text{and} \ 3\]\[\large a^2 -2ab -15b^2 = (a-5b)(a+3b)\]

Answer 21

\[6a ^{2}-2ab-15b ^{2}=6[(a ^{2}-2ab+b ^{2})-b ^{2}-\frac{ 15 }{ 6 }b ^{2}]\]
\[=6[\left( a-b \right)^{2}-\frac{ 21 }{ 6 }b ^{2}]\]
\[=6[\left( a-b \right)^{2}-\frac{ 7 }{2 }b ^{2}]\]\[=6[\left( a-b \right)^{2}-\left( \frac{ \sqrt{7}b }{\sqrt{2} } \right)^{2}]\]
\[=6\left( a-b+\sqrt{\frac{ 7 }{ 2 }}b \right)\left( a-b-\sqrt{\frac{ 7 }{2 }}b \right)\]

Answer 22

Or you could use the quadratic formula couldn't you?...

Answer 23

\[i incorrectly taken 6a ^{2}-12ab-15b ^{2}\]