Factorize each of the following expressions-x2-x y-x z-y z

X2+xy+xz+yz=(x2+xy)+(xz+yz) #160; #160; #160;[Grouping #160;the #160;expressions]=x(x+y)+z(x+y)=(x+z)(x+y) #160; #160; #160; #160; #160; # ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Factorisation by Regrouping Terms

Factorize eac...

Question

Factorize each of the following expressions:
x² + xy + xz + yz

Open in App

Solution

$x^{2} + x y + x z + y z = (x^{2} + x y) + (x z + y z) [G r o u p i n g t h e e x p r e s s i o n s] = x (x + y) + z (x + y) = (x + z) (x + y) [T a k i n g (x + y) a s t h e c o m m o n f a c t o r] = (x + y) (x + z)$

Suggest Corrections

Similar questions

Q. Factorise:
x² − xz + xy − yz

Q. Factorize each of the following expressions:
x² − 2ax − 2ab + bx

Q. Simplify each of the following algebraic expressions by removing grouping symbols.
xy [yz − zx − {yx − (3y − xz) − (xy − zy)}]

There are two triangles ABC and XYZ such that ΔABC ΔYXZ. their measurement are given as follows: AB =6 cm, AC = 9 cm, BC = 7 cm. Find out the corresponding measurements of triangle YXZ.

Q. Write the terms and numerical coefficients of

3 - x y + y z - x z .

(each term)

Join BYJU'S Learning Program

Factorize each of the following expressions: x2 + xy + xz + yz

x2+xy+xz+yz=(x2+xy)+(xz+yz) [Grouping the expressions]=x(x+y)+z(x+y)=(x+z)(x+y) [Taking (x+y) as the common factor]= (x+y)(x+z)

Factorize each of the following expressions:
x² + xy + xz + yz

$x^{2} + x y + x z + y z = (x^{2} + x y) + (x z + y z) [G r o u p i n g t h e e x p r e s s i o n s] = x (x + y) + z (x + y) = (x + z) (x + y) [T a k i n g (x + y) a s t h e c o m m o n f a c t o r] = (x + y) (x + z)$