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

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

बेरीज

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

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पाठ 4: Expansions - Exercise 4.1

पाठ 4 Expansions
Exercise 4.1 | Q 3.2

Factorise the following using appropriate identity:

`x^2 - y^2/100`

Evaluate following using identities:

991 ☓ 1009

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

\[\left( \frac{3}{x} - \frac{x}{3} \right) \left( \frac{x^2}{9} + \frac{9}{x^2} + 1 \right)\]

Expand the following:
(3x + 4) (2x - 1)

If p + q = 8 and p - q = 4, find:
p²+ q²

If m - n = 0.9 and mn = 0.36, find:
m² - n².

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

If `"a"^2 + (1)/"a"^2 = 14`; find the value of `"a" + (1)/"a"`

Simplify:

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

Simplify:
(x + 2y + 3z)(x² + 4y² + 9z² - 2xy - 6yz - 3zx)