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7.
Rewrite the expression (4x² + 5x) ²-5(4x ² + 5x) – 6 as a product of four linear factors.

Sagot :

Karkismriti176idn

Answer:

(x+2)(x+1)(4x+1)(4x-3)

Step-by-step explanation:

(4x² + 5x)² - 5(4x² +5x) - 6

= (4x² + 5x)² - 6(4x² +5x) + 1(4x² +5x) -6

= (4x² + 5x)(4x² +5x -6) +1 (4x² +5x -6)

= (4x²+5x-6)(4x²+5x+1)

= (4x² + 8x - 3x - 6)(4x² + 4x + x +1)

= (4x(x + 2) - 3(x + 2))(4x(x+1) +1(x+1))

= (x+2)(4x-3)(x+1)(4x+1)

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