Explanation

Given: x = 0, y = 4, z = 2  

Expression: 2x + 4y - z  

Put values: 2(0) + 4(4) - 2 = 0 + 16 - 2 = 14

Last verified on 16-06-2026

Explanation

A linear equation in two variables has 2 different variables like x and y, highest power is 1, and it has an = sign.  

2x + 3y = 0 → has 2 variables x and y, power 1, and = sign

Last verified on 25-06-2026

Explanation

Remove brackets and combine like terms  

(x - y + 2) + (2x + y) - (x + 3) = x - y + 2 + 2x + y - x - 3  

Group x terms: x + 2x - x = 2x  

Group y terms: -y + y = 0  

Group numbers: 2 - 3 = -1  

Add all = 2x + 0 - 1 = 2x - 1

Last verified on 16-06-2026

Explanation

A term is a part of an expression separated by + or - sign.

Given expression: 3x + 4  

Break it: 3x is first term, 4 is second term  

No other + or - sign

So number of terms in 3x + 4 = 2.

Last verified on 25-06-2026

Explanation

• Al-Khwarizmi is known as the Father of Algebra for writing the first systematic book on algebra.
• He wrote Al-Kitab al-Mukhtasar fi Hisab al-Jabr wal-Muqabala in the 9th century.
• The word “Algebra” comes from “Al-Jabr” in his book title.

Last verified on 24-06-2026

Explanation

3x² - 4√x + xy + √25x + 7x²  

1. Combine x²: 3x² + 7x² = 10x²  

2. √25x = √(25) × √x = 5√x  

3. Combine √x: -4√x + 5√x = +√x  

4. xy stays as is  

Result: 10x² + xy + √x

Last verified on 24-06-2026

Explanation

x = 5, y = 2  

x + y = 5 + 2 = 7

Last verified on 24-06-2026

Explanation

(-1)^300 

Rule: if power is even → 1, if power is odd → -1

300 is even

So (-1)^300 = 1

Last verified on 24-06-2026

Explanation

When a power is raised to another power, we multiply exponents:

(m¹⁄₃)³⁄₅ = m^(1/3 × 3/5) = m¹⁄₅

(n⁻²)³⁄₅ = n^(-2 × 3/5) = n⁻⁶⁄₅

So the simplified form is m¹⁄₅ n⁻⁶⁄₅.

Last verified on 24-06-2026

Explanation

For quadratic ax² + bx + c = 0:  

Sum of roots = -b/a  

Product of roots = c/a  

Take a = 1, then:  

-b = sum = -2 → b = 2  

c = product = 3  

So equation: x² + 2x + 3 = 0

Last verified on 23-06-2026