Question

Expand : (2x + 3) (2x - 5)
​

Answer 1

Using the identity is (m+a)(m+b)=m  

2

+m(a+b)+ab.

Given: (2x+3)(2x+5) we apply the above identity by taking

m=2x, a=3 , b=5.

We get, (2x+3)(2x+5)=(2x)  

2

+(2x)(3+5)+(3×5)=4x  

2

+(2x)(8)+15=4x  

2

+16x+15

Hence, (2x+3)(2x+5)=4x  

2

+16x+15.

Answer 2

Answer:

$\large \red{Solution}$⤋

☞︎︎︎Expanding this expression means multiplying the contents of the first bracket by the contents of the second.

So the First terms in each bracket,

• 2x and 2x, multiplied [2x × 2x] together give 4x2 .

• The outside terms, 2x and 5, gives 10x.
• The inside terms, 3 and 2x, gives 6x.
• And, finally, the last terms, 3 and 5, gives 15. This can be simplified because 10x and 6x are of the same order and can be added together.

$\large \red{Hence}$,

The answer is 4x2+16x+15.

$\large \red{Answer}$ ➥4x2+16x+15.

$\large \blue{Mablerose♡︎}$