Expand the Following: (M + 8) (M - 7) - Mathematics

Expand the following:
(m + 8) (m - 7)

Sum

(m + 8) (m - 7)
= m²+ 8m - 7m - 56
= m² + m - 56
(Using identify : (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 1.2

Write the following cube in expanded form:

`[3/2x+1]^3`

Evaluate the following using identities:

(2x + y) (2x − y)

Simplify the following products:

`(x^3 - 3x^2 - x)(x^2 - 3x + 1)`

Find the following product:

\[\left( \frac{3}{x} - \frac{5}{y} \right) \left( \frac{9}{x^2} + \frac{25}{y^2} + \frac{15}{xy} \right)\]

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

Simplify by using formula :
(5x - 9) (5x + 9)

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.

Multiply x² + 4y² + z² + 2xy + xz – 2yz by (–z + x – 2y).