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

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

योग

(3x + 4) (2x - 1)
= 6x²- 3x + 8x - 4
= 6x² + 5x - 4
(Using identity : (x+ a) (x -b)
= x² + (a - b) x - ab).

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अध्याय 4: Expansions - Exercise 4.1

अध्याय 4 Expansions
Exercise 4.1 | Q 1.4

Factorise:

`2x^2 + y^2 + 8z^2 - 2sqrt2xy + 4sqrt2yz - 8xz`

Evaluate the following using suitable identity:

(99)³

Evaluate the following using identities:

(0.98)²

if `x^2 + 1/x^2 = 79` Find the value of `x + 1/x`

Simplify `(x^2 + y^2 - z)^2 - (x^2 - y^2 + z^2)^2`

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

\[\left( \frac{5}{x} + 5x \right)\] \[\left( \frac{25}{x^2} - 25 + 25 x^2 \right)\]

If a + b + c = 9 and ab +bc + ca = 26, find the value of a³ + b³+ c³ − 3abc

Use the direct method to evaluate the following products :
(a – 8) (a + 2)

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

Find the following product:

(x² – 1)(x⁴ + x² + 1)