Evaluate the Following Without Multiplying: (95)2

Evaluate the following without multiplying:
(95)²

योग

Using(x + y)²
= x²+ 2xy + y², we get
(95)²
= (100 - 5)²
= (100)² - 2(100)(5) + (5)²
= 10000 - 1000 + 25
= 9025.

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अध्याय 4: Expansions - Exercise 4.1

अध्याय 4 Expansions
Exercise 4.1 | Q 5.1

Find the following product:

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

Find the following product:

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 = 6 and ab = 20, find the value of a³ − b³

If a¹^/3 + b¹^/3 + c¹^/3 = 0, then

If a² - 5a - 1 = 0 and a ≠ 0 ; find:

Use the direct method to evaluate :
`(3/5"a"+1/2)(3/5"a"-1/2)`

Simplify by using formula :
(2x + 3y) (2x - 3y)

Evaluate the following :
7.16 x 7.16 + 2.16 x 7.16 + 2.16 x 2.16

Find the value of x³ – 8y³ – 36xy – 216, when x = 2y + 6