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

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

योग

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

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अध्याय 4: Expansions - Exercise 4.1

अध्याय 4 Expansions
Exercise 4.1 | Q 3.2

Factorise:

4x² + 9y² + 16z² + 12xy – 24yz – 16xz

Factorise the following:

8a³ – b³ – 12a²b + 6ab²

Simplify (a + b + c)² + (a - b + c)²

The number x is 2 more than the number y. If the sum of the squares of x and y is 34, then find the product of x and y.

Evaluate the following without multiplying:
(999)²

Evaluate, using (a + b)(a - b)= a² - b².
15.9 x 16.1

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

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

Simplify:

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

Using suitable identity, evaluate the following:

103³