Question

(2x + 5)² - (2x - 5)^2 simplify
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Answer 1

ANSWER:

• Value of the above expression is 40x

GIVEN:

• (2x+5)² - (2x-5)²

TO FIND:

• Simplify the above expression.

Formula used:

• a²-b² = (a+b)(a-b)

SOLUTION:

= (2x+5)² - (2x-5)²

= (2x+5+2x-5)(2x+5-2x+5)

= 4x(10)

= 40x

Value of the above expression is 40x

NOTE:

Some important formulas:

(a+b)² = a²+b²+2ab

(a-b)² = a²+b²-2ab

(a+b)(a-b) = a²-b²

(a+b)³ = a³+b³+3ab(a+b)

(a-b)³ = a³-b³-3ab(a-b)

a³+b³ = (a+b)(a²+b²-ab)

a³-b³ = (a-b)(a²+b²+ab)

(a+b)² = (a-b)²+4ab

(a-b)² = (a+b)²-4ab

Answer 2

Answer:

= (2x+5)^2 - (2x-5)^2

= (2x+5+2x-5)(2x+5-2x+5)

= 4x(10)

= 40x

Step-by-step explanation: