Use the Direct Method to Evaluate the Following Products : (B – 3) (B – 5)

Use the direct method to evaluate the following products :
(b – 3) (b – 5)

Sum

(b – 3) (b – 5) = (b × b) + (b × −5) + (−3) × b + (−3) (−5)

= b² − 5b − 3b + 15

= b²− 8b + 15

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Chapter 12: Identities - Exercise 12 (A) [Page 150]

Chapter 12 Identities
Exercise 12 (A) | Q 1.4 | Page 150

Evaluate the following product without multiplying directly:

95 × 96

Write in the expanded form: `(x + 2y + 4z)^2`

Find the cube of the following binomials expression :

\[\frac{3}{x} - \frac{2}{x^2}\]

Evaluate of the following:

(9.9)³

If a + b = 10 and ab = 16, find the value of a² − ab + b² and a² + ab + b²

Simplify by using formula :
(a + b - c) (a - b + c)

Simplify by using formula :
(1 + a) (1 - a) (1 + a²)

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

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

If `x^2 + (1)/x^2 = 18`; find : `x - (1)/x`