Question

Find Using Identity
1. 25²-14²
2. (3/2 x+⅔ y)²

Answer 1

Answer:

$1) \\ = {25}^{2} - {14}^{2} \\ = (25 + 14) \times (25 - 14) \\ = 39 \times 11 \\ = 429$

second one

$= {((3 \div 2)x + (2 \div 3)y) }^{2} \\ = {((3 x\div 2)+ (2 y\div 3)) }^{2} = \\{ (3x \div 2 })^{2} + ( {2y \div 3)}^{2} + 2 \times ((3 x\div 2) \times (2 y\div 3)) \\ = (9 {x}^{2} \div 4) + (4 {y}^{2} \div 9) + (2 \times 3x \times 2y) \div (2 \times 3) \\ = (9 {x}^{2} \div 4) + (4 {y}^{2} \div 9) + 2xy$