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If x + y = 5, y + z = 7, z + x = 12, what is the value of x + y + z ?
What is the difference between 3a + 2b and 2a – 5b ?
(3a + 2b) – (2a 5b) = 3a + 2b + 2a + 5b = 5a + 7b
What is the perimeter in cm of the triangle ?
Perimeter = 9y – x + 3x 2 + 2x – y 1 = (8y + 4x – 3) cm
By how much is \( x^{4} – 4x^{2}y^{2} + y^{4}\) less than \( x^{4} + 8x^{2}y^{2} + y^{4}\) ?
Simplify x(y – z) – y(z – x) – z(x – y) .
x(y – z) – y(z – x) z(x – y) = xy xz – yz – zx + zy = 2xy – 2zx = 2x(y – z)
What is the sum of \( 3y^{2} + 5yz , 2y^{2} 2yz – z^{2} \ and \ yz + 2z^{2}\)?
Evaluate p – (p – q) q – (q – p).
p (p – q) – q – (q – p) = p – p + q – q – q + p = p – q
If \( p + \dfrac{5}{4}(4 – 2p) = – 4 \) then ,find p ?
A basket has 23 oranges and bananas. How many bananas are there in the basket if there are ‘p’ oranges in it ?
Number of bananas = 23 – p
The length of a rectangle is 2(x + 6)cm and its width is half of its length. What is its perimeter ?
Length = 2(x + 6) cm
Width cm
Perimeter
What must be added to \( 12x^{3} – 4x^{2} + 3x 7\) to make the sum \( x^{3} + 2x^{3} – 3x + 3\) ?
If P = \( 7x^{2} + 5xy – 9y^{2},\ Q = 4y^{2} – 3x^{2} – 6xy,\ and \ R = 4x^{2} + xy + 5y^{2}\). So P + Q + R = ?
P + Q + R
Simplify 2x – { 5y – (x 2y)}.
2x – {5y (x – 2y)} = 2x – {5y – x + 2y} = 2x – {7y – x} = 3x – 7y
Simplify – a – [a + { a + b – 2a – (a – 2b) } – b]
( a )[a + {a + b 2a (a – 2b)} – b] = – a [a + {a + b 2a a + 2b} – b] = – a – 2b + a = (2b)
Simplify 2x – 3y – [3x – 2y – {x – z – (x – 2y)}]
2x – 3y [3x – 2y – {x – z – (x – 2y)}] = 2x – 3y – [3x – 3y (2y – z)] = 2x – 3y – [3x – 4y + z] = 2x – 3y – 3x + 4y z = x + y – z
The coefficient of x in \( \dfrac{5}{2}xyz^{2}\) is
Coefficient of x
If x = 1, and y =2, find the value of 3x – 5y .
= 3 – 10 = 7
Find the value of \(a^{2} + b^{2} + 2ab\) for a = 1, b = 2.
Evaluate \( \dfrac{x}{y} + \dfrac{y}{z} + \dfrac{z}{x}\) for x = 2, y = 1, z = 3.
The value of \( \dfrac{n(n+1)(2n+1)}{6}\) at n = 5 is
If \(\dfrac{5x – 4}{6x – 4} = \dfrac{4}{5}\) then, x = ?
25x – 20 = 24x – 16
x = 4
Add \( 5x^{2} + 7x – 6z^{2}, 4y+3x^{2} , 9x^{2} + 2z^{2} – 9y,\ and \ 2y – 2x^{2} \)
Subtract \( x^{2} + y^{2} + 3xy\) from \(4x^{2} + 2xy – 3y^{2}\)
How much is \(x^{2} – 2xy + 3y^{2}\) less than \(2x^{2} – 3y^{2} + xy \) ?
Find the value of \(4(a^{2} + b^{2} + 2ab) – [4(a^{2} + b^{2} + 2ab) – {b^{3} + 4(a – 3)}] \) whwn a = 3, b = 1.
Simplify 2x – [3y – {2x – (y x)}]
2x – [3y – {2x – y( y x)}] = 2x – [3y 2x + y x] = 5x – 4y
Subtract \( 2 + p^{2} + 3pq + q^{2} \) from \(1 + 3p^{2} – 2pq – 3q^{2}\)
The value of (2x + 3y) + (2x – 3y) is
2x + 3y + 2x – 3y = 4x
If x + y = 2z then find the value of \(\dfrac{x}{xz} + \dfrac{z}{y – z}\)
(As y – z = z – x)
If \( x + \dfrac{1}{x} = 2 \) then \(x^{2} + \dfrac{1}{x^{2}} = \)?