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प्रश्न
Show that: (9a − 5b)2 + 180ab = (9a + 5b)2
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उत्तर
\[\text { LHS } = \left( 9a - 5b \right)^2 + 180ab\]
\[ = \left( 9a - 5b \right)^2 + 4 \times 9a \times 5b\]
\[ = \left( 9a + 5b \right)^2 \left[ \because \left( a - b \right)^2 + 4ab = \left( a + b \right)^2 \right]\]
= RHS
Because LHS is equal to RHS, the given equation is verified.
संबंधित प्रश्न
Find each of the following product:
(−5a) × (−10a2) × (−2a3)
Express each of the following product as a monomials and verify the result in each case for x = 1:
(3x) × (4x) × (−5x)
Find the following product:
1.5x(10x2y − 100xy2)
Simplify: 2a2 + 3a(1 − 2a3) + a(a + 1)
Multiply:
(3x2 + y2) by (2x2 + 3y2)
Multiply: \[\left( \frac{3}{5}x + \frac{1}{2}y \right) by \left( \frac{5}{6}x + 4y \right)\]
Simplify:
(2x2 + 3x − 5)(3x2 − 5x + 4)
Simplify : (x − y)(x + y) (x2 + y2)(x4 + y2)
Simplify : (4m − 8n)2 + (7m + 8n)2
Multiply:
23xy2 × 4yz2
