Question

Factorise:
(i) 25a⁴
-40a²+16
(ii) 1-169a²​

Answer 1

Step-by-step explanation:

Step-by-step explanation:

Given,

ABC is a right angled triangle. It is right angled at B. AB = 3cm and BC = 4cm

To find:

Length of AC

Answer: 5cm = AC

Solution:

Refer to the image first.

Angle B = 90°

H= Hypotenuse

P= Perpendicular

B= Base

By Pythagoras Thereom,

H² = P² + B²

Here, H = AC

B = BC

P = AB

So, AC² = AB² + BC²

AC² = 3² + 4²

AC² = 9+16

AC² = 25 cm

AC = √25 cm

AC = 5 cm.

Therefore, the length of AC = 5cm.

Answer 2

Step-by-step explanation:

You can split this by using a^2-b^2 formula.

You can split this by using a^2-b^2 formula.Ans) (a+b)^2-(1)^2

You can split this by using a^2-b^2 formula.Ans) (a+b)^2-(1)^2(a+b+1)(a+b-1) using the formula of a^2 -b^2 which is equal to (a+b)(a-b)