(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

If $a + \dfrac{1}{a} = 2.5 \text{ and } a - \dfrac{1}{a} = 1.5$ , the value of $\Big(a + \dfrac{1}{a}\Big)^2 - \Big(a - \dfrac{1}{a}\Big)^2$ is :
4
2
1
8.5

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

If x + 2y + 3z = 0 and x³ + 4y³ + 9z³ = 18xyz; evaluate :
$\dfrac{(x + 2y)^2}{xy} + \dfrac{(2y + 3z)^2}{yz} + \dfrac{(3z + x)^2}{zx}$

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

If a+1a=2.5 and a−1a=1.5a + \dfrac{1}{a} = 2.5 \text{ and } a - \dfrac{1}{a} = 1.5a+a1​=2.5 and a−a1​=1.5, the value of (a+1a)2−(a−1a)2\Big(a + \dfrac{1}{a}\Big)^2 - \Big(a - \dfrac{1}{a}\Big)^2(a+a1​)2−(a−a1​)2 is :4218.5

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

If x + 2y + 3z = 0 and x3 + 4y3 + 9z3 = 18xyz; evaluate :(x+2y)2xy+(2y+3z)2yz+(3z+x)2zx\dfrac{(x + 2y)^2}{xy} + \dfrac{(2y + 3z)^2}{yz} + \dfrac{(3z + x)^2}{zx}xy(x+2y)2​+yz(2y+3z)2​+zx(3z+x)2​

(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

If $a + \dfrac{1}{a} = 2.5 \text{ and } a - \dfrac{1}{a} = 1.5$ , the value of $\Big(a + \dfrac{1}{a}\Big)^2 - \Big(a - \dfrac{1}{a}\Big)^2$ is :
4
2
1
8.5

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

If x + 2y + 3z = 0 and x³ + 4y³ + 9z³ = 18xyz; evaluate :
$\dfrac{(x + 2y)^2}{xy} + \dfrac{(2y + 3z)^2}{yz} + \dfrac{(3z + x)^2}{zx}$