Question

answer the following using suitable indenty find the product:(2x+3)(2x+5)​

Answer 1

$\huge\sf\underline{SOLUTION:-}$

Using the identity is (m+a)(m+b)

=m² +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)

=4x² +(2x)(8)+15

=4x²+16x+15

Hence, (2x+3)(2x+5)

=4x²+16x+15.

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Answer 2

Answer:

(2x+3)(2x+5) = 0

4x² + 10x + 6x + 15 = 0

4x² + 16x + 15 = 0

4x² + 6x + 10x + 15 = 0

2x(2x + 3) + 5(2x + 3) = 0

(2x + 3)(2x + 5) = 0

2x + 3 = 0 , 2x + 5 = 0

2x = - 3 , 2x = - 5

x = - 3 , x = - 5

2 2

Hope it helps you....