(2x + 3)(2x + 5)
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Answer:
4x ^2 + 16x + 15
Step-by-step explanation:
Here we can use the formula ⇒ (x + a) (x + b) = x^2 + (a + b)x + ab
x = 2x
a = 3
b = 5
(2x)^2 + ( 3 + 5)2x + (3×5)
⇒ 4x^2 +8 × 2x + 15
Ans ⇒ 4x ^2 + 16x + 15
Hope this will help you
Answer:
[tex]x=\frac{-3}{2} or x=\frac{-5}{2}[/tex]
Step-by-step explanation:
(2[tex]x[/tex]+3)(2[tex]x[/tex]+5)
⇒{2[tex]x[/tex]×(2[tex]x[/tex])+2[tex]x[/tex]×(5)}+3×(2[tex]x[/tex])+3×(5)
⇒4[tex]x^{2}[/tex]+10[tex]x[/tex]+6[tex]x[/tex]+15
⇒4[tex]x^{2}[/tex]+16[tex]x[/tex]+15
By applying middle term factorisation method,
⇒4[tex]x^{2}[/tex]+10[tex]x[/tex]+6[tex]x[/tex]+15
By taking commons,
⇒2[tex]x[/tex](2[tex]x[/tex]+5)+3(2[tex]x[/tex]+5)
⇒(2[tex]x[/tex]+3) (2[tex]x[/tex]+5)=0
Either,
2[tex]x[/tex]+3=0
2[tex]x[/tex]=-3
[tex]x[/tex]= [tex]\frac{-3}{2}[/tex]
Or,
2[tex]x[/tex]+5=0
⇒2[tex]x[/tex]=-5
⇒[tex]x[/tex] =[tex]\frac{-5}{2}[/tex]