Expand the Following: (A + 4) (A + 7)

Expand the following:
(a + 4) (a + 7)

Sum

(a + 4) (a + 7)
= a²+ 4a + 7a + 28
= a² + 11a + 28
(Using identity : (x + a) (x + b)
= x² + (a + b) x + ab).

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Chapter 4: Expansions - Exercise 4.1

Chapter 4 Expansions
Exercise 4.1 | Q 1.1

Verify:

x³ + y³ = (x + y) (x² – xy + y²)

Write in the expand form: `(2x - y + z)^2`

If \[x - \frac{1}{x} = - 1\] find the value of \[x^2 + \frac{1}{x^2}\]

Evaluate of the following:

46³+34³

If \[x + \frac{1}{x} = 3\] then find the value of \[x^6 + \frac{1}{x^6}\].

If \[x - \frac{1}{x} = \frac{15}{4}\], then \[x + \frac{1}{x}\] =

If \[\frac{a}{b} + \frac{b}{a} = 1\] then a³ + b³ =

Expand the following:
(2x - 5) (2x + 5) (2x- 3)

If x + y = 9, xy = 20
find: x² - y².

Evaluate the following :
1.81 x 1.81 - 1.81 x 2.19 + 2.19 x 2.19