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Algebraic Expressions and Identities — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions and Identities2 Marks
Question
Find the following products: $(2x^2- 3) (2x^2+ 5)$
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Answer

Here, we will use the identity $(x - a)(x + b) = x^2+ (b + a)x - ab.$
$ \left(2 x^2-3\right)\left(2 x^2+5\right) $
$ =\left(2 x^2\right)^2+(5-3)\left(2 x^2\right)-3 \times 5 $
$ =4 x^4+4 x^2-15 $

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