Advertisements
Advertisements
प्रश्न
Show that: (3x + 7)2 − 84x = (3x − 7)2
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.
APPEARS IN
संबंधित प्रश्न
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:
(4x2) × (−3x) × \[\left( \frac{4}{5} x^3 \right)\]
Evaluate (3.2x6y3) × (2.1x2y2) when x = 1 and y = 0.5.
Find the following product:
2a3(3a + 5b)
Find the following product:
−11y2(3y + 7)
Find the following product:
4.1xy(1.1x − y)
Simplify: x2(x2 + 1) − x3(x + 1) − x(x3 − x)
Simplify: 2a2 + 3a(1 − 2a3) + a(a + 1)
Multiply:
(0.8a − 0.5b) by (1.5a − 3b)
Multiply:
(2x2y2 − 5xy2) by (x2 − y2)