Advertisements
Advertisements
Question
Use suitable identity to find the following product:
(x + 8) (x – 10)
Solution
By using the identity (x + a)(x + b) = x2 + (a + b)x + ab,
(x + 8)(x – 10) = x2 + (8 – 10)x (8)(–10)
= x2 + (–2)x + (–80)
= x2 – 2x – 80
APPEARS IN
RELATED QUESTIONS
Factorise:
`2x^2 + y^2 + 8z^2 - 2sqrt2xy + 4sqrt2yz - 8xz`
Evaluate the following using identities:
`(a^2b - b^2a)^2`
Evaluate the following using identities:
(1.5x2 − 0.3y2) (1.5x2 + 0.3y2)
Simplify the following products:
`(1/2a - 3b)(1/2a + 3b)(1/4a^2 + 9b^2)`
Write in the expanded form:
`(2 + x - 2y)^2`
Write in the expanded form: (-2x + 3y + 2z)2
If a + b + c = 9 and ab + bc + ca = 23, find the value of a2 + b2 + c2.
Find the cube of the following binomials expression :
\[4 - \frac{1}{3x}\]
If a + b = 10 and ab = 21, find the value of a3 + b3
If \[x^4 + \frac{1}{x^4} = 119\] , find the value of \[x^3 - \frac{1}{x^3}\]
Find the following product:
(3x + 2y) (9x2 − 6xy + 4y2)
Find the following product:
\[\left( \frac{3}{x} - \frac{5}{y} \right) \left( \frac{9}{x^2} + \frac{25}{y^2} + \frac{15}{xy} \right)\]
Find the following product:
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{x}{7} + \frac{y}{3} \right) \left( \frac{x^2}{49} + \frac{y^2}{9} - \frac{xy}{21} \right)\]
Find the square of `(3a)/(2b) - (2b)/(3a)`.
Evaluate: (4 − ab) (8 + ab)
Find the squares of the following:
9m - 2n
If p + q = 8 and p - q = 4, find:
pq
If a2 - 3a - 1 = 0 and a ≠ 0, find : `"a" + (1)/"a"`
Without actually calculating the cubes, find the value of:
(0.2)3 – (0.3)3 + (0.1)3