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

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

बेरीज

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

shaalaa.com

या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

पाठ 4: Expansions - Exercise 4.1

पाठ 4 Expansions
Exercise 4.1 | Q 14.2

Expand the following, using suitable identity:

(–2x + 5y – 3z)²

Verify:

x³ + y³ = (x + y) (x² – xy + y²)

What are the possible expressions for the dimensions of the cuboids whose volume is given below?

If a − b = 4 and ab = 21, find the value of a³ −b³

If 3x − 2y = 11 and xy = 12, find the value of 27x³ − 8y³

Evaluate of the following:

(598)³

Use the direct method to evaluate the following products :
(a – 8) (a + 2)

Evaluate the following :
7.16 x 7.16 + 2.16 x 7.16 + 2.16 x 2.16

Using suitable identity, evaluate the following:

999²

If a + b + c = 9 and ab + bc + ca = 26, find a² + b² + c².