Question

(a+b)=4 ab=3 find the value of a3+b3

Answer 1

Answer is in the image.

Hope it helps and plz make it the brainliest answer

Answer 2

${(a + b)}^{2} = {a}^{2} + {b}^{2} + {2ab}$

${4}^{2} = {a}^{2} + {b}^{2} + {2×3}$

${16} = {a}^{2} + {b}^{2} + {6}$

${16} - {6} = {a}^{2} + {b}^{2}$

${10} = {a}^{2} + {b}^{2}$

BY USING PROPERTIES:-

${a}^{3} + {b}^{3} = {(a + b)}{({a}^{2} + {b}^{2} - {ab})}$

SUBSTITUTING THE VALUES:-

${a}^{3} + {b}^{3} = {(4)}{(10 - 3)}$

${a}^{3} + {b}^{3} = {(4)}{(7)}$

${a}^{3} + {b}^{3} = {28}$

${\boxed{\mathfrak\red{Answer:}{({a}^{3} + {b}^{3}) = {28}}}}$