If X + Y = 1 and Xy = -12; Find: X2 - Y2. - Mathematics

If x + y = 1 and xy = -12; find:
x² - y².

Sum

x² - y²
= (x + y) (x - y)
= (1) (±7)
= ±7.

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Chapter 4: Expansions - Exercise 4.1

Chapter 4 Expansions
Exercise 4.1 | Q 14.2

Evaluate the following product without multiplying directly:

104 × 96

Write the expanded form:

`(-3x + y + z)^2`

If a + b + c = 9 and ab + bc + ca = 23, find the value of a² + b² + c².

Find the value of 4x² + y² + 25z² + 4xy − 10yz − 20zx when x = 4, y = 3 and z = 2.

If `x - 1/x = 3 + 2sqrt2`, find the value of `x^3 - 1/x^3`

75 × 75 + 2 × 75 × 25 + 25 × 25 is equal to

Simplify by using formula :
(2x + 3y) (2x - 3y)

If a² - 3a - 1 = 0 and a ≠ 0, find : `"a" + (1)/"a"`

If `x + (1)/x = "p", x - (1)/x = "q"`; find the relation between p and q.

Simplify:
(3x + 5y + 2z)(3x - 5y + 2z)