Question

4x^2-4x-3
5x^2-4-8x
2√3x^2-5x+√3

Answer 1

Given :-

• 4x² -4x-3
• 5x² -4-8x
• 2√3x²-5x+√3

To find :-

• Factorize

Solution :-

• 4x² - 4x - 3

Split middle of term

→ 4x² - 6x + 2x - 3

→ 2x(2x - 3) + 1(2x - 3)

→ (2x - 3)(2x + 1)

• 5x² - 4 - 8x

Split middle of term

→ 5x² - 8x - 4

→ 5x² - 10x + 2x - 4

→ 5x(x - 2) + 2(x - 2)

→ (x - 2)(5x - 2)

• 2√3x² - 5x + √3

Split middle of term

→ 2√3x² -3x - 2x + √3

→ √3x(2x - √3) - 1(2x - √3)

→ (2x - √3)(√3x - 1)