Penjelasan dengan langkah-langkah:
a. (x+5)(x+5)
x²+5x+5x+25
x²+10x+25
b (2x-6)(2x-6)
4x²-12x-12x-36
4x²-24x-36
C. x²-7x+5x-35
x²-2x-35
d (2x+5)(2x+5)
4x²+10x+10x+25
4x²+20x+25
*maaf kalau salah*
[a]
(x + 5)² ------> gunakan rumus (a + b)² = a² + 2ab + b²
(x + 5)²
= x² + 2(x)(5) + 5²
= x² + 10x + 25
[tex] \: [/tex]
[b]
(2x - 6)² -----> gunakan rumus (a - b)² = a² - 2ab + b²
(2x - 6)²
= (2x)² - 2(2x)(6) + (-6)²
= 4x² - 24x + 36
[c]
(x + 5)(x - 7)
= (x)(x) + (x)(-7) + (5)(x) + (5)(-7)
= x² - 7x + 5x - 35
= x² + (-7 + 5)x -35
= x² - 2x - 35
[d]
(2x + 5)² ------> gunakan rumus (a + b)² = a² + 2ab + b²
(2x + 5)²
= (2x)² + 2(2x)(5) + 5²
= 4x² + 20x +25
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Penjelasan dengan langkah-langkah:
a. (x+5)(x+5)
x²+5x+5x+25
x²+10x+25
b (2x-6)(2x-6)
4x²-12x-12x-36
4x²-24x-36
C. x²-7x+5x-35
x²-2x-35
d (2x+5)(2x+5)
4x²+10x+10x+25
4x²+20x+25
*maaf kalau salah*
Verified answer
[a]
(x + 5)² ------> gunakan rumus (a + b)² = a² + 2ab + b²
(x + 5)²
= x² + 2(x)(5) + 5²
= x² + 10x + 25
[tex] \: [/tex]
[b]
(2x - 6)² -----> gunakan rumus (a - b)² = a² - 2ab + b²
(2x - 6)²
= (2x)² - 2(2x)(6) + (-6)²
= 4x² - 24x + 36
[tex] \: [/tex]
[c]
(x + 5)(x - 7)
= (x)(x) + (x)(-7) + (5)(x) + (5)(-7)
= x² - 7x + 5x - 35
= x² + (-7 + 5)x -35
= x² - 2x - 35
[tex] \: [/tex]
[d]
(2x + 5)² ------> gunakan rumus (a + b)² = a² + 2ab + b²
(2x + 5)²
= (2x)² + 2(2x)(5) + 5²
= 4x² + 20x +25