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प्रश्न
Show that: (3x + 7)2 − 84x = (3x − 7)2
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उत्तर
\[ \text { LHS } = \left( 3x + 7 \right)^2 - 84x\]
\[ = \left( 3x + 7 \right)^2 - 4 \times 3x \times 7\]
\[ = \left( 3x - 7 \right)^2 \left[ \because \left( a + b \right)^2 - 4ab = \left( a - b \right)^2 \right]\]
= RHS
Because LHS is equal to RHS, the given equation is verified.
संबंधित प्रश्न
Find each of the following product:
−3a2 × 4b4
Find each of the following product:
(7ab) × (−5ab2c) × (6abc2)
Write down the product of −8x2y6 and −20xy. Verify the product for x = 2.5, y = 1.
Evaluate (2.3a5b2) × (1.2a2b2) when a = 1 and b = 0.5.
Multiply:
(a − 1) by (0.1a2 + 3)
Simplify:
(3x − 2)(2x − 3) + (5x − 3)(x + 1)
Simplify:
(3x + 2y)(4x + 3y) − (2x − y)(7x − 3y)
Show that: (a − b)(a + b) + (b − c)(b + c) + (c − a)( c + a) = 0
Multiply:
(4x + 5y) × (9x + 7y)
What is (−4ab) × (2a²b³)?
