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
Find each of the following product: \[\left( \frac{4}{3} u^2 vw \right) \times \left( - 5uv w^2 \right) \times \left( \frac{1}{3} v^2 wu \right)\]
Find each of the following product:
\[\left( 0 . 5x \right) \times \left( \frac{1}{3}x y^2 z^4 \right) \times \left( 24 x^2 yz \right)\]
Find each of the following product:
(2.3xy) × (0.1x) × (0.16)
Express each of the following product as a monomials and verify the result in each case for x = 1:
(5x4) × (x2)3 × (2x)2
Evaluate (3.2x6y3) × (2.1x2y2) when x = 1 and y = 0.5.
Find the product 24x2 (1 − 2x) and evaluate its value for x = 3.
Find the product −3y(xy + y2) and find its value for x = 4 and y = 5.
Simplify:
a2b2(a + 2b)(3a + b)
Simplify:
(5 − x)(6 − 5x)( 2 − x)
Simplify:
(2x2 + 3x − 5)(3x2 − 5x + 4)
