Respuesta:
21. 64x²-25 = (8x)²- 5²
⇒ (8x+5)(8x-5)
22. (2x²+6)(2x²-6) = (2x²)²- 6²
⇒ 4x⁴ - 36
23. (4x-5)(4x+1) = 4x(4x) + 4x(1) - 5(4x) - 5(1)
⇒ 16x²- 16x - 5
24. (6x-1)² = (6x)² - 2(6x)(1) + 1²
⇒ 36x²- 12x + 1
25. [tex](\frac{3}{5}x+2)^{3}[/tex]= [tex](\frac{3}{5}x) ^{3} +3(\frac{3}{5}x)^{2} .2+3(\frac{3}{5}x).2^{2} +2^{3}[/tex]
⇒ [tex]\frac{27x^{3} }{125} +\frac{54x^{2} }{25} +\frac{36x}{5} +8[/tex]
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Respuesta:
21. 64x²-25 = (8x)²- 5²
⇒ (8x+5)(8x-5)
22. (2x²+6)(2x²-6) = (2x²)²- 6²
⇒ 4x⁴ - 36
23. (4x-5)(4x+1) = 4x(4x) + 4x(1) - 5(4x) - 5(1)
⇒ 16x²- 16x - 5
24. (6x-1)² = (6x)² - 2(6x)(1) + 1²
⇒ 36x²- 12x + 1
25. [tex](\frac{3}{5}x+2)^{3}[/tex]= [tex](\frac{3}{5}x) ^{3} +3(\frac{3}{5}x)^{2} .2+3(\frac{3}{5}x).2^{2} +2^{3}[/tex]
⇒ [tex]\frac{27x^{3} }{125} +\frac{54x^{2} }{25} +\frac{36x}{5} +8[/tex]