Question

Using suitable identities show that:

(3x +7)2 - 84x = (3x- 7)2​

Answer 1

Answer:

Show that

Show that(3x + 7)2 -84x = (3x -7)2

Show that(3x + 7)2 -84x = (3x -7)2LHS = (3x + 7) - 84x

Show that(3x + 7)2 -84x = (3x -7)2LHS = (3x + 7) - 84x = (3x)2 +2(3x)(7) + (7)2 - 84x

Show that(3x + 7)2 -84x = (3x -7)2LHS = (3x + 7) - 84x = (3x)2 +2(3x)(7) + (7)2 - 84x = 9x2 + 42x + 49 - 84x

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

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

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

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 + 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 = (3x)2 -2(3x)(7) + (7)2 = 9x2 - 42x + 49Since, LHS = RHS

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 + 49Since, LHS = RHS∴ (3x + 7)2 -84x = (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 = 9x2 - 42x + 49Since, LHS = RHS∴ (3x + 7)2 -84x = (3x -7)2

Step-by-step explanation:

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