а)
[tex]4x(2x - 1) - (x - 3)(x + 3) = 8 {x}^{2} - 4x - {x}^{2} + 9 = 7 {x}^{2} - 4x + 9[/tex]
б)
[tex](p + 3)(p - 11) + {(p + 6)}^{2} = {p}^{2} - 8p - 33 + {p}^{2} + 12p + 36 = 2 {p}^{2} + 4p + 3[/tex]
в)
[tex]7 {(a + b)}^{2} - 14ab = 7( {a}^{2} + 2 ab + {b}^{2} ) - 14ab = 7 {a}^{2} + 14ab + 7 {b}^{2} - 14ab = \\ \\ = 7 {a}^{2} + 7 {b}^{2} [/tex]
а) 4х(2х – 1) – (х – 3)(х + 3)=8х²-4х-х²+9=7х²-4х+9;
в) 7(а + b)² – 14аb=7а²+14аb+7b²-14ab=7а²+7b²
б) (р + 3)(р – 11) + (р + 6)²=р²-11р+3р-33+р²+12р+36=2р²+4р+3;
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Verified answer
а)
[tex]4x(2x - 1) - (x - 3)(x + 3) = 8 {x}^{2} - 4x - {x}^{2} + 9 = 7 {x}^{2} - 4x + 9[/tex]
б)
[tex](p + 3)(p - 11) + {(p + 6)}^{2} = {p}^{2} - 8p - 33 + {p}^{2} + 12p + 36 = 2 {p}^{2} + 4p + 3[/tex]
в)
[tex]7 {(a + b)}^{2} - 14ab = 7( {a}^{2} + 2 ab + {b}^{2} ) - 14ab = 7 {a}^{2} + 14ab + 7 {b}^{2} - 14ab = \\ \\ = 7 {a}^{2} + 7 {b}^{2} [/tex]
а) 4х(2х – 1) – (х – 3)(х + 3)=8х²-4х-х²+9=7х²-4х+9;
в) 7(а + b)² – 14аb=7а²+14аb+7b²-14ab=7а²+7b²
б) (р + 3)(р – 11) + (р + 6)²=р²-11р+3р-33+р²+12р+36=2р²+4р+3;