Hi Satyam,

Here are all the formulas up to Class 10:-

• (a+b) ² = a ² + b ² + 2ab
• (a-b) ² = a ² + b ² – 2ab
• (a+b) (a-b) = a ² – b ²
• (x + a)(x + b) = x ² + (a + b)x + ab
• (x + a)(x – b) = x ² + (a – b)x – ab
• (x – a)(x + b) = x ² + (b – a)x – ab
• (x – a)(x – b) = x ² – (a + b)x + ab
• (a + b) ³ = a ³ + b ³ + 3ab(a + b)
• (a – b) ³ = a ³ – b ³ – 3ab(a – b)
• (x + y + z) ² = x ² + y ² + z ² + 2xy + 2yz + 2xz
• (x + y – z) ² = x ² + y ² + z ² + 2xy – 2yz – 2xz
• (x – y + z) ² = x ² + y ² + z ² – 2xy – 2yz + 2xz
• (x – y – z) ² = x ² + y ² + z ² – 2xy + 2yz – 2xz
• x ³ + y ³ + z ³ – 3xyz = (x + y + z)(x2 + y2 + z2 – xy – yz -xz)
• x ² + y ² =½ [(x + y) ² + (x – y) ² ]
• (x + a) (x + b) (x + c) = x ³ + (a + b +c)x ² + (ab + bc + ca)x + abc
• x ³ + y ³ = (x + y) (x ² – xy + y ² )
• x ³ – y ³ = (x – y) (x ² + xy + y ² )
• x ² + y ² + z ² -xy – yz – zx = ½ [(x-y) ² + (y-z) ² + (z-x) ² ]
• sin(90 ° – θ) = cos θ
• cos(90 ° – θ) = sin θ
• tan(90 ° – θ) = cot θ
• cot(90 ° – θ) = tan θ
• sec(90 ° – θ) = cosecθ
• cosec(90 ° – θ) = secθ
• sin ² θ + cos ² θ = 1
• sec ² θ = 1 + tan ² θ for 0 ° ≤ θ < 90 °
• Cosec ² θ = 1 + cot ² θ for 0 ° ≤ θ ≤ 90 °

Feel free to ask doubts in the Comment Section.

I hope this information helps you.

Good Luck!