Question

${16x}^{2} - 24xy + {9y}^{2}$
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Answer 1

[tex]16x {}^{2} −24xy+9y {}^{2} = \\ 4 {}^{2} x {}^{2} - 24xy + 9y {}^{2} \\ 4 {}^{2} x {}^{2} - 2 \times 4x \times 3y + 9y {9}^{2} \\ 4 {}^{2} x {}^{2} - 2 \times 4x \times 3y + 3 {}^{2} y {}^{2} \\ (4x) {}^{2} - 2 \times 4x \times 3y + 3 {}^{2} y {}^{2} \\ (4x) {}^{2} - 2 \times 4x \times 3y + (3y) {}^{2} \\ a {}^{2} - 2ab + b {}^{2} = (a - b) {}^{2} \\ \\ = (4x - 3y) {}^{2} /[tex]4\