factoriese (5x+2)²+16(5x+2)+60
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1
Answer:
Step-by-step explanation:
Given equation:
45x(x-2)²+60x(x-2)+20x
On solving the brackets of the above equation we get
45x( x2- 4x +4) + 60×2- 120x + 20x
= 45x3– 180×2+ 180x + 60x2 – 100x
= 45×3 – 120×2 + 80x
Taking out 5x as a common factor we get,
=5x (9×2 – 24x + 16)
Now will factoriese the bracketted equation
=5x{(3x)2 -12x-12x +16}
= 5x { 3x(3x-4) -4(3x-4)}
= 5x{(3x-4)2}
Hence, On factorising 45x(x-2)²+60x(x-2)+20x we get 5x{(3x-4)2)
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Answer:
(5x+2)²+16(5x+2)+60
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