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Using suitable identities show that: (3x +7)2 - 84x = (3x- 7)2 |
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Answer» Show thatShow that(3x + 7)2 -84x = (3x -7)2Show that(3x + 7)2 -84x = (3x -7)2LHS = (3x + 7) - 84xShow that(3x + 7)2 -84x = (3x -7)2LHS = (3x + 7) - 84x = (3x)2 +2(3x)(7) + (7)2 - 84xShow that(3x + 7)2 -84x = (3x -7)2LHS = (3x + 7) - 84x = (3x)2 +2(3x)(7) + (7)2 - 84x = 9X2 + 42x + 49 - 84xShow that(3x + 7)2 -84x = (3x -7)2LHS = (3x + 7) - 84x = (3x)2 +2(3x)(7) + (7)2 - 84x = 9x2 + 42x + 49 - 84x = 9x2 + (42 - 84) X + 49Show that(3x + 7)2 -84x = (3x -7)2LHS = (3x + 7) - 84x = (3x)2 +2(3x)(7) + (7)2 - 84x = 9x2 + 42x + 49 - 84x = 9x2 + (42 - 84) x + 49 = 9x2 -42x + 49Show that(3x + 7)2 -84x = (3x -7)2LHS = (3x + 7) - 84x = (3x)2 +2(3x)(7) + (7)2 - 84x = 9x2 + 42x + 49 - 84x = 9x2 + (42 - 84) x + 49 = 9x2 -42x + 49 Show that(3x + 7)2 -84x = (3x -7)2LHS = (3x + 7) - 84x = (3x)2 +2(3x)(7) + (7)2 - 84x = 9x2 + 42x + 49 - 84x = 9x2 + (42 - 84) x + 49 = 9x2 -42x + 49 RHS = (3x - 7)2 Show that(3x + 7)2 -84x = (3x -7)2LHS = (3x + 7) - 84x = (3x)2 +2(3x)(7) + (7)2 - 84x = 9x2 + 42x + 49 - 84x = 9x2 + (42 - 84) x + 49 = 9x2 -42x + 49 RHS = (3x - 7)2 = (3x)2 -2(3x)(7) + (7)2 Show that(3x + 7)2 -84x = (3x -7)2LHS = (3x + 7) - 84x = (3x)2 +2(3x)(7) + (7)2 - 84x = 9x2 + 42x + 49 - 84x = 9x2 + (42 - 84) x + 49 = 9x2 -42x + 49 RHS = (3x - 7)2 = (3x)2 -2(3x)(7) + (7)2 = 9x2 - 42x + 49Show that(3x + 7)2 -84x = (3x -7)2LHS = (3x + 7) - 84x = (3x)2 +2(3x)(7) + (7)2 - 84x = 9x2 + 42x + 49 - 84x = 9x2 + (42 - 84) x + 49 = 9x2 -42x + 49 RHS = (3x - 7)2 = (3x)2 -2(3x)(7) + (7)2 = 9x2 - 42x + 49Since, LHS = RHSShow that(3x + 7)2 -84x = (3x -7)2LHS = (3x + 7) - 84x = (3x)2 +2(3x)(7) + (7)2 - 84x = 9x2 + 42x + 49 - 84x = 9x2 + (42 - 84) x + 49 = 9x2 -42x + 49 RHS = (3x - 7)2 = (3x)2 -2(3x)(7) + (7)2 = 9x2 - 42x + 49Since, LHS = RHS∴ (3x + 7)2 -84x = (3x -7)2Show that(3x + 7)2 -84x = (3x -7)2LHS = (3x + 7) - 84x = (3x)2 +2(3x)(7) + (7)2 - 84x = 9x2 + 42x + 49 - 84x = 9x2 + (42 - 84) x + 49 = 9x2 -42x + 49 RHS = (3x - 7)2 = (3x)2 -2(3x)(7) + (7)2 = 9x2 - 42x + 49Since, LHS = RHS∴ (3x + 7)2 -84x = (3x -7)2Step-by-step explanation:I HOPE THIS ANSWER HELPS YOU |
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