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3 years ago

6

2x^2−10xy+3xy−15y^2 factor by grouping

2 answers:

Diano4ka-milaya [45]3 years ago

8 0

2x²-10xy+3xy-15y²

Add like terms.

2x²+ (-10xy+3xy) -15y²

Simplify.

2x² + (-7xy) - 15y²

Rearrange the equation.

2x²-15y²-7xy

~Hope I helped~

SIZIF [17.4K]3 years ago

8 0

There are four terms in your algebraic expression. Notice that the left two terms have the factors 2 and x in common, whereas the right two terms have the factors 3 and y in common:

2x(x-5y) + 3y(x-5y). Can you now factor this further? Note that the two terms here have a common factor, (x-5y).

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<img src="https://tex.z-dn.net/?f=9%5C%3A%20%20%5C%3A%20%20%5Cfrac%7B%20%5Csin%28%20%5Ctheta%29%20%7D%7B1%20%2B%20%20%5Ccos%28%2

PIT_PIT [208]

Option (b) is your correct answer.

Step-by-step explanation:

$\large\underline{\sf{Solution-}}$

Given Trigonometric expression is

$\rm :\longmapsto\:\dfrac{sin\theta }{1 + cos\theta }$

So, on rationalizing the denominator, we get

$\rm \: = \: \dfrac{sin\theta }{1 + cos\theta } \times \dfrac{1 - cos\theta }{1 - cos\theta }$

We know,

$\purple{\rm :\longmapsto\:\boxed{\tt{ (x + y)(x - y) = {x}^{2} - {y}^{2} \: }}}$

So, using this, we get

$\rm \: = \: \dfrac{sin\theta (1 - cos\theta )}{1 - {cos}^{2}\theta }$

We know,

$\purple{\rm :\longmapsto\:\boxed{\tt{ {sin}^{2}x + {cos}^{2}x = 1}}}$

So, using this identity, we get

$\rm \: = \: \dfrac{sin\theta (1 - cos\theta )}{{sin}^{2}\theta }$

$\rm \: = \: \dfrac{1 - cos\theta }{sin\theta }$

<u>Hence, </u>

$\\ \red{\rm\implies \:\boxed{\tt{ \rm \:\dfrac{sin\theta }{1 + cos\theta } = \: \dfrac{1 - cos\theta }{sin\theta } }}} \\$

3 0

2 years ago

Read 2 more answers

Which is the graph of x – y = 1?

SVETLANKA909090 [29]

Please include the graphs!!!!!

3 0

3 years ago

Read 2 more answers

If f(x)=x/2 and g(x) = x-3,what is the value of g(f(8))

pochemuha

F(x) = x/2
g(x) = x - 3

f(8) = 8/2 = 4

g(f(x)) = 4 - 3 = 1

Answer g(f(8)) = 1

7 0

3 years ago

Read 2 more answers

HELPPPPPPP LOOK AT THESE PICS PLS GEOMETRY

ElenaW [278]

Answer:

x + 3 + 45° = 180°. isosceles triangle

x = 180° - 45°-3°

x = 132°

90° + x = 180°

x =180° - 90°

x = 90°

7 0

2 years ago

Please help, need an answer ASAP!

Shtirlitz [24]

Answer:

6, -7

Step-by-step explanation:

when I followed those instructions, that's what i got.

:)

6 0

3 years ago