(z+3/4)(z+4/3)

(x + a)(x + b) = x² + (a + b)x + ab

(z+3/4) (z+4/3)

= z²+(3/4 + 4/3)z + 3/4 × 4/3

= z² +(9+16/12)z +1

= z² +( 25/12 )z +1

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Distribute (?+34)(?+43) {\color{#c92786}{(z+\frac{3}{4})(z+\frac{4}{3})}}(z+43​)(z+34​) ?(?+43)+34(?+43) {\color{#c92786}{z(z+\frac{4}{3})+\frac{3}{4}(z+\frac{4}{3})}}z(z+34​)+43​(z+34​) 2 Distribute ?(?+43)+34(?+43) {\color{#c92786}{z(z+\frac{4}{3})}}+\frac{3}{4}(z+\frac{4}{3})z(z+34​)+43​(z+34​) ?2+43?+34(?+43) {\color{#c92786}{z^{2}+\frac{4}{3}z}}+\frac{3}{4}(z+\frac{4}{3})z2+34​z+43​(z+34​) 3 Combine multiplied terms into a single fraction ?2+43?+34(?+43) z^{2}+\frac{4}{3}z+\frac{3}{4}(z+\frac{4}{3})z2+34​z+43​(z+34​) ?2+4?3+34(?+43) z^{2}+\frac{4z}{3}+\frac{3}{4}(z+\frac{4}{3})z2+34z​+43​(z+34​) 4 Combine multiplied terms into a single fraction ?2+4?3+34(?+43) z^{2}+\frac{4z}{3}+\frac{3}{4}(z+\frac{4}{3})z2+34z​+43​(z+34​) ?2+4?3+3(?+43)4 z^{2}+\frac{4z}{3}+\frac{3(z+\frac{4}{3})}{4}z2+34z​+43(z+34​)​ 5 Distribute ?2+4?3+3(?+43)4 z^{2}+\frac{4z}{3}+\frac{{\color{#c92786}{3(z+\frac{4}{3})}}}{4}z2+34z​+43(z+34​)​ ?2+4?3+3?+44 z^{2}+\frac{4z}{3}+\frac{{\color{#c92786}{3z+4}}}{4}z2+34z​+43z+4​ Solution ?2+4?3+3?+44