factorise the following expressions by perfect square method
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1)2x²-10x+8
=2(x²-5x+4)
=2{x²-2×5/2×x+(5/2)²-(5/2)²+4}
=2(x+5/2)²-4.5
3)6x²-17x+12
=6(x²-17/6x+2)
=6{x²-2×17/12×x+(17/12)²-(17/12)²+2}
=6(x-17/12)²-0.04
4)16x²-32x+7
=16(x²-2x+7/16)
=16(x²- 2×0.5×x+0.5²-0.5²+7/16)
=16(x-0.5)²+3
I really hope I got them correct. Might've made a bit a calculation mistake. Please check by simplifying them.
=2(x²-5x+4)
=2{x²-2×5/2×x+(5/2)²-(5/2)²+4}
=2(x+5/2)²-4.5
3)6x²-17x+12
=6(x²-17/6x+2)
=6{x²-2×17/12×x+(17/12)²-(17/12)²+2}
=6(x-17/12)²-0.04
4)16x²-32x+7
=16(x²-2x+7/16)
=16(x²- 2×0.5×x+0.5²-0.5²+7/16)
=16(x-0.5)²+3
I really hope I got them correct. Might've made a bit a calculation mistake. Please check by simplifying them.
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