
Multiplication of Polynoimals by Polynomials
Multiplication of Polynoimals by Polynomials
Last updated at Dec. 16, 2024 by Teachoo
Ex 8.4, 1 Multiply the binomials. (vi) (3/4 𝑎^2+3𝑏^2 ) and 4(𝑎^2−2/3 𝑏^2 ) (3/4 𝑎^2+3𝑏^2 )×4(𝑎^2−2/3 𝑏^2 ) = (3/4 𝑎^2+3𝑏^2 )×[(4×𝑎^2 )−(4×2/3 𝑏^2 )] = (3/4 𝑎^2+3𝑏^2 )×(4𝑎^2−8/3 𝑏^2 ) = 3/4 𝑎^2 (4𝑎^2−8/3 𝑏^2 )+3𝑏^2 (4𝑎^2−8/3 𝑏^2 ) = (𝟑/𝟒 𝒂^𝟐 × 𝟒𝒂^𝟐 )−(𝟑/𝟒 𝒂^𝟐×𝟖/𝟑 𝒃^𝟐 )+(𝟑𝒃^𝟐×𝟒𝒂^𝟐 )−(𝟑𝒃^𝟐×𝟖/𝟑 𝒃^𝟐 ) = 3𝑎^4−2𝑎^2 𝑏^2+12𝑏^2 𝑎^2−8𝑏^4