For more videos visit mrbartonmaths.com/videos Binomial expansion 6 Silent Teacher Intelligent Practice Narration Your Turn Use the binomial theorem to find the first 4 terms of the expansion 1+2𝑥 8 . Use the expansion to estimate 1.02 8 . Use the binomial theorem to find the first 4 terms of the expansion 2−𝑥 12 . Use the expansion to estimate 1.99 12 . Example For more videos visit mrbartonmaths.com/videos

Use the binomial theorem to find the first 4 terms of the Worked Example Your Turn Use the binomial theorem to find the first 4 terms of the expansion 1+2𝑥 14 . Use the expansion to estimate 1.02 14 . Use the binomial theorem to find the first 4 terms of the expansion 2+5𝑥 12 . Use the expansion to estimate 2.005 12 . @mrbartonmaths

Use the binomial theorem to find the first 4 terms of the expansion 1+2𝑥 8 . Use the expansion to estimate 1.02 8 . Use the binomial theorem to find the first 4 terms of the expansion 2−𝑥 12 . Use the expansion to estimate 1.99 12 . Use the binomial theorem to find the first 4 terms of the expansion 2−3𝑥 5 . Use the expansion to estimate 1.85 5 . Use the binomial theorem to find the first 4 terms of the expansion 1−5𝑥 30 . Use the expansion to estimate 0.995 30 . @mrbartonmaths

Use the binomial theorem to find the first 4 terms of the expansion 1+2𝑥 8 . Use the expansion to estimate 1.02 8 . 1.171648 Use the binomial theorem to find the first 4 terms of the expansion 2−𝑥 12 . Use the expansion to estimate 1.99 12 . 3856.89 Use the binomial theorem to find the first 4 terms of the expansion 2−3𝑥 5 . Use the expansion to estimate 1.85 5 . 21.665 Use the binomial theorem to find the first 4 terms of the expansion 1−5𝑥 30 . Use the expansion to estimate 0.995 30 . 0.860368 @mrbartonmaths