Multiply x2 +4y2 +z2 +2xy+xz-2yz by –z+x-2y.
Answers
Answer:
Step-by-step explanation:
Given : A- , B-
To find : Multiplication of A and B
Solution: Multiply A and B = AB
Multiply each term one by one
Same terms cancel out and rest terms are
Therefore, multiplication of
Answer:
Answer:
AB=x^3-8y^3-z^3-6xyzAB=x
3
−8y
3
−z
3
−6xyz
Step-by-step explanation:
Given : A- x^2+4y^2+z^2+2xy+xz-2yzx
2
+4y
2
+z
2
+2xy+xz−2yz , B- -z+x-2y−z+x−2y
To find : Multiplication of A and B
Solution: Multiply A and B = AB
AB=(x^2+4y^2+z^2+2xy+xz-2yz)(-z+x-2y)AB=(x
2
+4y
2
+z
2
+2xy+xz−2yz)(−z+x−2y)
Multiply each term one by one
AB=(-z)(x^2+4y^2+z^2+2xy+xz-2yz)+(x)(x^2+4y^2+z^2+2xy+xz-2yz)+(-2y)(x^2+4y^2+z^2+2xy+xz-2yz)AB=(−z)(x
2
+4y
2
+z
2
+2xy+xz−2yz)+(x)(x
2
+4y
2
+z
2
+2xy+xz−2yz)+(−2y)(x
2
+4y
2
+z
2
+2xy+xz−2yz)
AB=-zx^2-4zy^2-z^3-2xyz-xz^2+2yz^2+x^3+4xy^2+xz^2+2x^2y+x^2z-2xyz-2yx^2-8y^3-2yz^2-4xy^2-2xyz+4y^2zAB=−zx
2
−4zy
2
−z
3
−2xyz−xz
2
+2yz
2
+x
3
+4xy
2
+xz
2
+2x
2
y+x
2
z−2xyz−2yx
2
−8y
3
−2yz
2
−4xy
2
−2xyz+4y
2
z
Same terms cancel out and rest terms are
AB=x^3-8y^3-z^3-6xyzAB=x
3
−8y
3
−z
3
−6xyz
Therefore, multiplication of AB=x^3-8y^3-z^3-6xyzAB=x
3
−8y
3
−z
3
−6xyz