Advertisements
Advertisements
प्रश्न
Show that: (3x + 7)2 − 84x = (3x − 7)2
Advertisements
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:
\[\frac{1}{4}xy \times \frac{2}{3} x^2 y z^2\]
Find the following product:
−11y2(3y + 7)
Find the following product: \[\frac{6x}{5}( x^3 + y^3 )\]
Find the following product: \[\left( - \frac{7}{4}a b^2 c - \frac{6}{25} a^2 c^2 \right)( - 50 a^2 b^2 c^2 )\]
Find the following product:
4.1xy(1.1x − y)
Find the following product:
250.5xy \[\left( xz + \frac{y}{10} \right)\]
Simplify: a(b − c) − b(c − a) − c(a − b)
Multiply:
(2x2 − 1) by (4x3 + 5x2)
Simplify:
x2(x + 2y) (x − 3y)
Simplify : (2.5p − 1.5q)2 − (1.5p − 2.5q)2
