Question

who can solve these maths questions that 3 winner got prize and also write address with answers​

Answer 1

$a) \: \frac{ {58}^{2} - {42}^{2} }{16}$

$= \frac{(58 + 42)(58 - 42)}{16}$

$= \frac{100 \times 16}{16}$

$= 100$

$b) \frac{8.63 \times 8.63 - 1.37 \times 1.37}{0.726}$

$= \frac{ {8.63}^{2} - {1.37}^{2} }{0.762}$

$= \frac{(8.63 + 1.37)(8.63 - 1.37)}{0.726}$

$= \frac{10 \times 7.26}{0.726}$

$= \frac{10 \times 7.26}{0.726} \times \frac{10}{10}$

$= \frac{10 \times 10 \times 7.26}{7.26}$

$= 10 \times 10 = 100$

$c)(3x + 1)(3x - 1)( {9x}^{2} + 1)( {81x}^{4} + 1)$

$= ({(3x)}^{2} - 1 ))( {(3x)}^{2} + 1)( {81x}^{4} + 1)$

$= ( {(3x)}^{4} - 1)( {(3x)}^{4} + 1)$

$= {(3x)}^{8} - 1$

$d)9 {(x + 1)}^{2} + 12(x + 1)(y + 2) + 4 {(y + 2}^{2}$

$= {(3(x + 1))}^{2} + 2 \times 3(x + 1) \times 2(y + 2) + {(2(y + 2))}^{2}$

$= {(3(x + 1) + 2(y + 2))}^{2}$

$= {(3x + 3 + 2y + 2)}^{2}$

$= {(3x + 2y + 5)}^{2}$

I think question c) has

$(81 {x}^{4} + 1) \: instead \: of \: (81 {x}^{2} + 1)$

⭐Hope it helps⭐

feel free to mark as brainlliest⭐