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: \[( - 7xy) \times \left( \frac{1}{4} x^2 yz \right)\]
Find the following product: \[\frac{6x}{5}( x^3 + y^3 )\]
Find the following product: \[\frac{7}{5} x^2 y\left( \frac{3}{5}x y^2 + \frac{2}{5}x \right)\]
Simplify: x2(x2 + 1) − x3(x + 1) − x(x3 − x)
Multiply:
(2x + 8) by (x − 3)
Multiply: \[\left( - \frac{a}{7} + \frac{a^2}{9} \right)by\left( \frac{b}{2} - \frac{b^2}{3} \right)\].
Multiply:
(3x2y − 5xy2) by \[\left( \frac{1}{5} x^2 + \frac{1}{3} y^2 \right)\].
Simplify : (2x − 1)(2x + 1)(4x2 + 1)(16x4 + 1)
Simplify : (4m − 8n)2 + (7m + 8n)2
Solve the following equation.
5(x + 1) = 74
