Find the Squares of the Following: 3p - 4q2 - Mathematics

Find the squares of the following:
3p - 4q²

Sum

(3p - 4q)²
= (3p)² - 2(3p)(4q) + (4q)²
= 9p² - 24pq + 16q².

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Chapter 4: Expansions - Exercise 4.1

Chapter 4 Expansions
Exercise 4.1 | Q 3.2

Factorise the following:

27y³ + 125z³

Evaluate following using identities:

(a - 0.1) (a + 0.1)

If \[x + \frac{1}{x} = 3\], calculate \[x^2 + \frac{1}{x^2}, x^3 + \frac{1}{x^3}\] and \[x^4 + \frac{1}{x^4}\]

If a − b = 5 and ab = 12, find the value of a² + b²

Use the direct method to evaluate :
`("z"-2/3)("z"+2/3)`

Evaluate: (4 − ab) (8 + ab)

If `"a" - 1/"a" = 10;` find `"a" + 1/"a"`

If p² + q² + r² = 82 and pq + qr + pr = 18; find p + q + r.

Simplify:

`("a" - 1/"a")^2 + ("a" + 1/"a")^2`

Using suitable identity, evaluate the following:

101 × 102