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Page 268, 33 - 52. Page 268, 33 - 52. Page 268, 33 - 52. Page 268, 33 - 52. Page 268, 33 - 52. Factor:. y 6 – 1. (y 3 + 1)(y 3 - 1). Factor completely: 32x 2 – 50y 2. 2( 16x 2 – 25y 2 ). 2( 4x + 5y) ( 4x - 5y). Factor completely: 81x 4 – y 8. ( 9x 2 + y 4 ) ( 9x 2 – y 4 ).
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Factor: y6 – 1 (y3 + 1)(y3 - 1)
Factor completely:32x2 – 50y2 2(16x2 – 25y2) 2(4x + 5y) (4x - 5y)
Factor completely:81x4 – y8 (9x2 + y4) (9x2 – y4) (9x2 + y4) (3x + y2) (3x – y2)
Multiply: (x + 3)2 x2 + 6x + 9 Multiply: (2x - 5)2 4x2 - 20x +25 Trinomial Squares
Trinomial Squaresx2 + 6x +94x2 – 20x + 25 • Two of the terms must be squares (A2 and B2) • No minus sign before A2 and B2 • If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative)
Is 4x2 – 20x + 25a Trinomial Square? Yes!! • Two of the terms must be squares (A2 and B2) • No minus sign before A2 and B2 • If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative)
Is x2 + 8x + 16a Trinomial Square? Yes!! • Two of the terms must be squares (A2 and B2) • No minus sign before A2 and B2 • If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative)
Is x2 - 12x + 4a Trinomial Square? no • Two of the terms must be squares (A2 and B2) • No minus sign before A2 and B2 • If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative)
Is 9x2 - 12x + 16a Trinomial Square? no • Two of the terms must be squares (A2 and B2) • No minus sign before A2 and B2 • If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative)
Is 9x2 + 24x - 16a Trinomial Square? no • Two of the terms must be squares (A2 and B2) • No minus sign before A2 and B2 • If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative)
Is 16x2 + 40xy + 25y2a Trinomial Square? yes • Two of the terms must be squares (A2 and B2) • No minus sign before A2 and B2 • If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative)
To Factor Trinomial Squares: • A2+ 2AB + B2(A + B)2 • A2- 2AB + B2(A - B)2 Factor: x2 + 10x + 25 (x + 5)2
To Factor Trinomial Squares: • A2+ 2AB + B2(A + B)2 • A2- 2AB + B2(A - B)2 Factor: x2 - 8x + 16 (x - 4)2
To Factor Trinomial Squares: • A2+ 2AB + B2(A + B)2 • A2- 2AB + B2(A - B)2 Factor: 4x2 + 12x + 9 (2x + 3)2
To Factor Trinomial Squares: • A2+ 2AB + B2(A + B)2 • A2- 2AB + B2(A - B)2 Factor: 2x2 + 12x + 18 2(x2 + 6x + 9) 2(x + 3)2