Question

give me all formula of maths class 10th
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Answer 1

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IMPORTANT MATHS FORMULAE

Algebra:

• (a + b)² = a² + 2ab + b²
• (a – b)²  = a² – 2ab + b²
• (a + b) (a – b) = a² – b²
• (x + a)(x + b)  = x² + (a + b)x + ab
• (x + a)(x – b)  = x² + (a – b)x – ab
• (x – a)(x + b)  = x² + (b – a)x – ab
• (x – a)(x – b)  = x²  – (a + b)x + ab
• (a + b)³  = a³ + b³ + 3ab(a + b)
• (a – b)³  =  a³ – b³ – 3ab(a – b)
• (x + y + z) ²  = x² + y² + z² + 2xy + 2yz + 2xz
• (x + y – z) ²  =  x² + y² + z² + 2xy – 2yz – 2xz
• (x – y + z)²  = x² + y² + z² – 2xy – 2yz + 2xz
• (x – y – z)²  = x² + y² + z² – 2xy +  2yz – 2xz
• x³ + y³ + z³ – 3xyz  = (x + y + z)(x2 + y2 + z2 – xy – yz -xz)
• x² + y²  = 1212 [(x + y)² + (x – y)²]
• (x + a) (x + b) (x + c) = x3 + (a + b +c)x2 + (ab + bc + ca)x + abc
• x³ + y³ = (x + y) (x² – xy + y²)
• x³ – y³  = (x – y) (x² + xy + y²)
• x² + y² + z² -xy – yz – zx = 1212 [(x-y)² + (y-z)² + (z-x)²]

Powers:

• aᵐ×aⁿ  = aᵐ+ ⁿ
• aᵐ aⁿ=aᵐ −ⁿ
• (aᵐ )ⁿ  =  aᵐ ⁿ
• (aᵐ bⁿ)p = aᵐ pbⁿp
• a-ᵐ  = 1aᵐ 1aᵐ  
• aᵐ ⁿ = aᵐ −−−√namn=aᵐ ⁿ

Linear Equation:

• Linear equation in one variable ax + b = 0,
• Quadratic Equation:  ax2 + bx + c  = 0

Math Formulas:

• When rate of discount is given Discount =   MP∗Rate of Discount 100
• Simple Interest = PTR100PTR100 where P = Principal, T = Time in years R = Rate of interest per annum
• Principal = 100∗S.IR∗T100∗S.IR∗T
• Rate = 100∗S.IP∗T100∗S.IP∗T
• Time = 100∗S.IP∗R100∗S.IP∗R
• Principal = Amount – Simple Interest
• Discount = MP – SP

Trigonometry:

The formulas from Trigonometry is shown in the given image..