CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Factorise: $$36{ \left( 5x+y \right)  }^{ 2 }-25{ \left( 4x-y \right)  }^{ 2 }$$


Solution

We know that $$a^2-b^2=(a+b)(a-b)$$ 

Using the above identity, the Expression $$36(5x+y)^2-25(4x-y)^2$$ can be factorised as follows:

$$36(5x+y)^2-25(4x-y)^2=(6(5x+y))^2-(5(4x-y))^2=[6(5x+y)-5(4x-y)][6(5x+y)+5(4x-y)]$$
$$=(30x+6y-20x+5y)(30x+6y+20x-5y)=(10x+11y)(50x+y)$$

Hence, $$36(5x+y)^2-25(4x-y)^2=(10x+11y)(50x+y)$$


Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image