Simplify by Using Formula : (X + Y - 3) (X + Y + 3) - Mathematics

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

Sum

(x + y - 3) (x + y + 3)
= (x + y)² - (3)²
= x² + y² + 2xy - 9
(Using identity : (a + b)(a - b) = a² - b²).

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Chapter 4: Expansions - Exercise 4.1

Chapter 4 Expansions
Exercise 4.1 | Q 4.4

Expand the following, using suitable identity:

(3a – 7b – c)²

Evaluate the following using suitable identity:

(102)³

Evaluate following using identities:

991 ☓ 1009

If x = 3 and y = − 1, find the values of the following using in identify:

(9y²− 4x²) (81y⁴ +36x²y² + 16x⁴)

Find the following product:

(4x − 3y + 2z) (16x² + 9y² + 4z² + 12xy + 6yz − 8zx)

If \[x + \frac{1}{x} = 2\], then \[x^3 + \frac{1}{x^3} =\]

If a + b + c = 9 and ab + bc + ca = 23, then a² + b² + c² =

Evaluate: `(3"x"+1/2)(2"x"+1/3)`

Evaluate: 20.8 × 19.2

Using suitable identity, evaluate the following:

103³