Simplify: (2x - 4y + 7)(2x + 4y + 7)

Simplify:
(2x - 4y + 7)(2x + 4y + 7)

बेरीज

(2x - 4y + 7)(2x + 4y + 7)
= (2x + 7 - 4y)(2x + 7 + 4y)
= (2x + 7)² - (4y)²
= 4x²+ 2(2x)(7) + 7² - 16y²
= 4x² - 16y² + 28x + 49.

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पाठ 4: Expansions - Exercise 4.2

पाठ 4 Expansions
Exercise 4.2 | Q 24.13

Factorise the following:

27y³ + 125z³

If a + b + c = 0 and a² + b² + c² = 16, find the value of ab + bc + ca.

Evaluate of the following:

111³ − 89³

Find the following product:

\[\left( \frac{x}{2} + 2y \right) \left( \frac{x^2}{4} - xy + 4 y^2 \right)\]

The product (x²−1) (x⁴ + x² + 1) is equal to

Evaluate: `(3"x"+1/2)(2"x"+1/3)`

If m - n = 0.9 and mn = 0.36, find:
m + n

If x + y = 1 and xy = -12; find:
x² - y².

Expand the following:

`(1/x + y/3)^3`

Prove that (a + b + c)³ – a³ – b³– c³ = 3(a + b)(b + c)(c + a).