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2/3𝑥^2 −17/3𝑥 − 28

Answer:

2/3𝑥^2 −17/3𝑥 − 28

We can further write it as

=2/3𝑥^2 −7/3𝑥 − 8𝑥 − 28

By taking out the common terms

=𝑥/3(2x + 7) – 4 (2x + 7)

So we get

= (𝑥/3– 4) (2x + 7)

"hello everyone i am sumanjali math tutor
from leader learning welcome to question
and answer session
given expression is 2 by 3 x square
minus 17 by 3 x minus 28
we need to factorize this expression so
factorization is nothing but
we need to express this in terms of
simple terminology
okay so first of all the given
expression is in the form of
a x square minus b x
sorry plus b x plus c okay so for
factorization we need to take the
product of a
and c but before that i am taking here
common 1 by 3
okay so if i taking take common 1 by 3 2
x square will be remains in the first
term minus 17 x will be there in the
second
term minus 28 3's are 84 okay so 84 will
be there in the third term
okay so now i need to i need to
factorize
this particular equation for that i'm
taking the product of
a and c okay a is the coefficient of x
square that is 2 and c value is constant
that is 84 okay
so 84 into 2 the value will be 168
okay so we need to check another
and another set of factors for 168 that
is
7 okay so 7 seven twos are
fourteen and seven fours are okay so we
can write it as
24 by seven and we can express
minus 17 x as a addition or subtraction
of 24 by 7
24 by 7 so it can be written as minus
24 x plus 7 x
okay minus 24 x plus 7 x okay
so i'm writing this in that okay so it
is 2 x
square minus 24 x
plus 7 x minus 84
okay so minus 84 in the first term from
the first
term i'm taking 2x as common so
if i took 2x so x will be there minus 12
minus 12 will be there okay so plus here
i'm taking common
seven okay here i'm taking common seven
okay so seven ones uh like if i took a
common seven
x will be there minus 12 will be here
okay so now i can take x
minus 12 as common so that 2x plus
7 will reminds okay 2x plus 7 will
reminds
okay so the expression the expression we
can
written as 2 by 3 x square minus
17 by 3 into x minus 28
okay so we can write this as x
by 3 minus 4
into 2 x plus 7 okay
so that's all this is the answer hope
you understand if you have further
questions
reach us at comment section and
subscribe to the channel lido learning
for further queries
thank you
"

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