Question

solve (2x + 5) ( 2x - 5 )

Answer 1

Answer:

(a+b)(a-b) = (a²-b²)

(2x+5)(2x-5) = (2x)²-(5)² = 4x²-25

Answer 2

Answer:

Required solution is $(4 {x}^{2} - 25)$

Step-by-step explanation:

Given,

$(2x + 5)(2x - 5)$

We know,

${a}^{2} - {b}^{2} = (a + b)(a - b)$

So,

$(2x + 5)(2x - 5) \\ = {(2x)}^{2} - {5}^{2} \\ = 4 {x}^{2} - 25$

So, value of (2x + 5) ( 2x - 5 ) is $(4 {x}^{2} - 25)$

This is a problem of Algebra.

Some important Algebra formulas:

${(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} \\ {(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2} \\ {(x + y)}^{3} = {x}^{3} + 3 {x}^{2} y + 3x {y}^{2} + {y}^{3} \\ {(x - y)}^{3} = {x}^{3} - 3 {x}^{2} y + 3x {y}^{2} - {y}^{3} \\ {x}^{3} + {y}^{3} = {(x + y)}^{3} - 3xy(x + y) \\ {x}^{3} - {y}^{3} = {(x - y)}^{3} + 3xy(x - y) \\ {x}^{2} - {y}^{2} = (x + y)(x - y) \\ {x}^{2} + {y}^{2} = {(x - y)}^{2} + 2xy \\ {x}^{2} - {y}^{2} = {(x + y)}^{2} - 2xy \\ {x}^{3} - {y}^{3} = (x - y)( {x}^{2} + xy + {y}^{2} ) \\ {x}^{3} + {y}^{3} = (x - + y)( {x}^{2} - xy + {y}^{2} )$

Know more about Algebra,

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