(x + y - z)(x - y + z) is equal to : 1. x 2 - y 2 - z 2 - 2yz 2. x 2 - y 2 - z 2 + 2yz 3. x 2 - y 2 + z 2 - 2yz 4. x 2 - y 2 + z 2 + 2yz

Given, ⇒ (x + y - z)(x - y + z) Expanding, ⇒ x 2 - xy + xz + xy - y 2 + yz - zx + yz - z 2 ⇒ x 2 - y 2 - z 2 + 2yz. Hence, Option 2 is the correct option.

Mathematics

(x + y - z)(x - y + z) is equal to :
x² - y² - z² - 2yz
x² - y² - z² + 2yz
x² - y² + z² - 2yz
x² - y² + z² + 2yz

Expansions

9 Likes

Answer

Given,

⇒ (x + y - z)(x - y + z)

Expanding,

⇒ x² - xy + xz + xy - y² + yz - zx + yz - z²

⇒ x² - y² - z² + 2yz.

Hence, Option 2 is the correct option.

Answered By

6 Likes

Mathematics

(x + y - z)(x - y + z) is equal to :
x² - y² - z² - 2yz
x² - y² - z² + 2yz
x² - y² + z² - 2yz
x² - y² + z² + 2yz

Expansions

Answer

Related Questions

In (3x + 2)(x - 4), the coefficient of x is :
-14
8
-10
3

If (3x - 4y)² = 9x² + axy + 16y²; the value of a is :
-24
24
-12
12

Mathematics

(x + y - z)(x - y + z) is equal to :x2 - y2 - z2 - 2yzx2 - y2 - z2 + 2yzx2 - y2 + z2 - 2yzx2 - y2 + z2 + 2yz

Expansions

Answer

Related Questions

In (3x + 2)(x - 4), the coefficient of x is :-148-103

If (3x - 4y)2 = 9x2 + axy + 16y2; the value of a is :-2424-1212

(x + y - z)(x - y + z) is equal to :
x² - y² - z² - 2yz
x² - y² - z² + 2yz
x² - y² + z² - 2yz
x² - y² + z² + 2yz

In (3x + 2)(x - 4), the coefficient of x is :
-14
8
-10
3

If (3x - 4y)² = 9x² + axy + 16y²; the value of a is :
-24
24
-12
12