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Whakaroha
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Tohaina

5\left(x^{2}+2x+1\right)+3\left(x+1\right)-5
Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+1\right)^{2}.
5x^{2}+10x+5+3\left(x+1\right)-5
Whakamahia te āhuatanga tohatoha hei whakarea te 5 ki te x^{2}+2x+1.
5x^{2}+10x+5+3x+3-5
Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te x+1.
5x^{2}+13x+5+3-5
Pahekotia te 10x me 3x, ka 13x.
5x^{2}+13x+8-5
Tāpirihia te 5 ki te 3, ka 8.
5x^{2}+13x+3
Tangohia te 5 i te 8, ka 3.
5\left(x^{2}+2x+1\right)+3\left(x+1\right)-5
Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+1\right)^{2}.
5x^{2}+10x+5+3\left(x+1\right)-5
Whakamahia te āhuatanga tohatoha hei whakarea te 5 ki te x^{2}+2x+1.
5x^{2}+10x+5+3x+3-5
Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te x+1.
5x^{2}+13x+5+3-5
Pahekotia te 10x me 3x, ka 13x.
5x^{2}+13x+8-5
Tāpirihia te 5 ki te 3, ka 8.
5x^{2}+13x+3
Tangohia te 5 i te 8, ka 3.