Math, asked by samfred2000, 9 months ago

Factorise by factorisation method: 4 x square + 4 bx minus A square minus b square.​

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Answers

Answered by luisecubero77
2

Answer:

x₁ = (a - b) / 2

x₂ = - (a + b) / 2

Step-by-step explanation:

4x² + 4bx - (a² - b²) = 0

4x² + 4bx - a² + b² = 0

4x² + 4bx + b² - a² = 0

(4x + 2b)(4x + 2b)/4 - a² = 0

2(2x + b)2(2x + b)/4 - a² = 0

(2x + b)² - a² = 0

(2x + b - a)(2x + b + a) = 0

2x + b - a = 0

2x = a - b

x₁ = (a - b) / 2

2x + b + a = 0

2x = - a - b

x₂ = - (a + b) / 2

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