Advertisements
Advertisements
प्रश्न
Show that: (9a − 5b)2 + 180ab = (9a + 5b)2
Advertisements
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.
APPEARS IN
संबंधित प्रश्न
Express each of the following product as a monomials and verify the result in each case for x = 1:
(4x2) × (−3x) × \[\left( \frac{4}{5} x^3 \right)\]
Evaluate (2.3a5b2) × (1.2a2b2) when a = 1 and b = 0.5.
Evaluate each of the following when x = 2, y = −1.
\[(2xy) \times \left( \frac{x^2 y}{4} \right) \times \left( x^2 \right) \times \left( y^2 \right)\]
Find the following product:
0.1y(0.1x5 + 0.1y)
Simplify: x2(x2 + 1) − x3(x + 1) − x(x3 − x)
Simplify: 2a2 + 3a(1 − 2a3) + a(a + 1)
Multiply:
(x2 + y2) by (3a + 2b)
Simplify:
(2x2 + 3x − 5)(3x2 − 5x + 4)
Simplify : (x − y)(x + y) (x2 + y2)(x4 + y2)
Multiply:
(4x + 5y) × (9x + 7y)
