Question

factorize 5√5x² + 33x + 8√5​

Answer 1

Answer: (5√5x + 8)(x + √5)

Step-by-step explanation:

5√5x² + 33x + 8√5

=> 5√5x² + 25x + 8x + 8√5

=> 5√5x(x + √5) + 8(x + √5)

=> (5√5x + 8)(x + √5)

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Answer 2

ANSWER:

• Factorisation of the above expression is (x+√5)(5√5x+8)

GIVEN:

• 5√5x²+33x+8√5

TO FIND:

• Factorise the above expression.

SOLUTION:

= 5√5x²+33x+8√5

= 5√5x²+25x+8x+8√5

= (5√5x²+25x)+(8x+8√5)

= 5√5x(x+√5) +8(x+√5)

= (x+√5)(5√5x+8)

IF THE QUESTIONS ASKED TO FIND THE VALUE OF 'x' Then:

=>(x+√5)(5√5x+8) = 0

Either (x+√5) = 0

=> x+√5 = 0

=> x = (-√5)

Either (5√5x+8) = 0

=> 5√5x = -8

=> x = (-8)/5√5

NOTE:

• (a+b)² = a²+b²+2ab
• (a-b)² = a²+b²-2ab
• (a+b)³ = a³+b³+3ab(a+b)
• (a-b)³ = a³-b³-3ab(a-b)
• (a³-b³) = (a-b)(a²+b²+ab)